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Finding the Fourth Proportional to 517,304.13, 775,989.00 and 162,332.16

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Solution

The fourth proportional to 517,304.13, 775,989.00 and 162,332.16 is: 243,508.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,304.13 : 775,989.00 = 162,332.16 : x
  2. Step 2: Convert to fraction form
    517,304.13/775,989.00 = 162,332.16/x
  3. Step 3: Cross multiply
    517,304.13x = 775,989.00 × 162,332.16
  4. Step 4: Simplify right side
    517,304.13x = 125,967,969,694.58
  5. Step 5: Solve for x
    x = 125,967,969,694.58/517,304.13
  6. Step 6: Final answer
    x = 243,508.53

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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.