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Finding the Fourth Proportional to 508,452.24, 759,022.98 and 471,542.16

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Solution

The fourth proportional to 508,452.24, 759,022.98 and 471,542.16 is: 703,923.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,452.24 : 759,022.98 = 471,542.16 : x
  2. Step 2: Convert to fraction form
    508,452.24/759,022.98 = 471,542.16/x
  3. Step 3: Cross multiply
    508,452.24x = 759,022.98 × 471,542.16
  4. Step 4: Simplify right side
    508,452.24x = 357,911,335,478.84
  5. Step 5: Solve for x
    x = 357,911,335,478.84/508,452.24
  6. Step 6: Final answer
    x = 703,923.22

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.