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Finding the Fourth Proportional to 516,002.40, 772,691.40 and 492,382.80

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Solution

The fourth proportional to 516,002.40, 772,691.40 and 492,382.80 is: 737,322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,002.40 : 772,691.40 = 492,382.80 : x
  2. Step 2: Convert to fraction form
    516,002.40/772,691.40 = 492,382.80/x
  3. Step 3: Cross multiply
    516,002.40x = 772,691.40 × 492,382.80
  4. Step 4: Simplify right side
    516,002.40x = 380,459,955,067.92
  5. Step 5: Solve for x
    x = 380,459,955,067.92/516,002.40
  6. Step 6: Final answer
    x = 737,322.06

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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.