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Finding the Fourth Proportional to 473,683.10, 709,487.85 and 411,475.10

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Solution

The fourth proportional to 473,683.10, 709,487.85 and 411,475.10 is: 616,312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,683.10 : 709,487.85 = 411,475.10 : x
  2. Step 2: Convert to fraction form
    473,683.10/709,487.85 = 411,475.10/x
  3. Step 3: Cross multiply
    473,683.10x = 709,487.85 × 411,475.10
  4. Step 4: Simplify right side
    473,683.10x = 291,936,584,027.54
  5. Step 5: Solve for x
    x = 291,936,584,027.54/473,683.10
  6. Step 6: Final answer
    x = 616,312.01

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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.