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Finding the Fourth Proportional to 475,459.28, 713,299.32 and 138,507.92

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Solution

The fourth proportional to 475,459.28, 713,299.32 and 138,507.92 is: 207,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,459.28 : 713,299.32 = 138,507.92 : x
  2. Step 2: Convert to fraction form
    475,459.28/713,299.32 = 138,507.92/x
  3. Step 3: Cross multiply
    475,459.28x = 713,299.32 × 138,507.92
  4. Step 4: Simplify right side
    475,459.28x = 98,797,605,150.61
  5. Step 5: Solve for x
    x = 98,797,605,150.61/475,459.28
  6. Step 6: Final answer
    x = 207,794.04

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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.