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Finding the Fourth Proportional to 723,074.16, 997,324.20 and 477,774.80

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Solution

The fourth proportional to 723,074.16, 997,324.20 and 477,774.80 is: 658,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,074.16 : 997,324.20 = 477,774.80 : x
  2. Step 2: Convert to fraction form
    723,074.16/997,324.20 = 477,774.80/x
  3. Step 3: Cross multiply
    723,074.16x = 997,324.20 × 477,774.80
  4. Step 4: Simplify right side
    723,074.16x = 476,496,370,190.16
  5. Step 5: Solve for x
    x = 476,496,370,190.16/723,074.16
  6. Step 6: Final answer
    x = 658,986.86

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.