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Finding the Fourth Proportional to 534,402.72, 801,584.64 and 160,416

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Solution

The fourth proportional to 534,402.72, 801,584.64 and 160,416 is: 240,618.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,402.72 : 801,584.64 = 160,416 : x
  2. Step 2: Convert to fraction form
    534,402.72/801,584.64 = 160,416/x
  3. Step 3: Cross multiply
    534,402.72x = 801,584.64 × 160,416
  4. Step 4: Simplify right side
    534,402.72x = 128,587,001,610.24
  5. Step 5: Solve for x
    x = 128,587,001,610.24/534,402.72
  6. Step 6: Final answer
    x = 240,618.16

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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.