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Finding the Fourth Proportional to 499,459.32, 749,167.20 and 144,465.48

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Solution

The fourth proportional to 499,459.32, 749,167.20 and 144,465.48 is: 216,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,459.32 : 749,167.20 = 144,465.48 : x
  2. Step 2: Convert to fraction form
    499,459.32/749,167.20 = 144,465.48/x
  3. Step 3: Cross multiply
    499,459.32x = 749,167.20 × 144,465.48
  4. Step 4: Simplify right side
    499,459.32x = 108,228,799,148.26
  5. Step 5: Solve for x
    x = 108,228,799,148.26/499,459.32
  6. Step 6: Final answer
    x = 216,691.92

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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.