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Finding the Fourth Proportional to 609,083.14, 840,542.13 and 337,176.16

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Solution

The fourth proportional to 609,083.14, 840,542.13 and 337,176.16 is: 465,307.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,083.14 : 840,542.13 = 337,176.16 : x
  2. Step 2: Convert to fraction form
    609,083.14/840,542.13 = 337,176.16/x
  3. Step 3: Cross multiply
    609,083.14x = 840,542.13 × 337,176.16
  4. Step 4: Simplify right side
    609,083.14x = 283,410,761,823.03
  5. Step 5: Solve for x
    x = 283,410,761,823.03/609,083.14
  6. Step 6: Final answer
    x = 465,307.19

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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.