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Finding the Fourth Proportional to 458,507.40, 687,761.10 and 403,211.40

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Solution

The fourth proportional to 458,507.40, 687,761.10 and 403,211.40 is: 604,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,507.40 : 687,761.10 = 403,211.40 : x
  2. Step 2: Convert to fraction form
    458,507.40/687,761.10 = 403,211.40/x
  3. Step 3: Cross multiply
    458,507.40x = 687,761.10 × 403,211.40
  4. Step 4: Simplify right side
    458,507.40x = 277,313,115,996.54
  5. Step 5: Solve for x
    x = 277,313,115,996.54/458,507.40
  6. Step 6: Final answer
    x = 604,817.10

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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.