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Finding the Fourth Proportional to 472,823.40, 709,235.10 and 463,492.20

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Solution

The fourth proportional to 472,823.40, 709,235.10 and 463,492.20 is: 695,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,823.40 : 709,235.10 = 463,492.20 : x
  2. Step 2: Convert to fraction form
    472,823.40/709,235.10 = 463,492.20/x
  3. Step 3: Cross multiply
    472,823.40x = 709,235.10 × 463,492.20
  4. Step 4: Simplify right side
    472,823.40x = 328,724,936,816.22
  5. Step 5: Solve for x
    x = 328,724,936,816.22/472,823.40
  6. Step 6: Final answer
    x = 695,238.30

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