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Finding the Fourth Proportional to 532,882.32, 799,892.40 and 229,426.64

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Solution

The fourth proportional to 532,882.32, 799,892.40 and 229,426.64 is: 344,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,882.32 : 799,892.40 = 229,426.64 : x
  2. Step 2: Convert to fraction form
    532,882.32/799,892.40 = 229,426.64/x
  3. Step 3: Cross multiply
    532,882.32x = 799,892.40 × 229,426.64
  4. Step 4: Simplify right side
    532,882.32x = 183,516,625,693.54
  5. Step 5: Solve for x
    x = 183,516,625,693.54/532,882.32
  6. Step 6: Final answer
    x = 344,384.90

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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.