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Finding the Fourth Proportional to 417,314.24, 625,960.40 and 117,815.52

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Solution

The fourth proportional to 417,314.24, 625,960.40 and 117,815.52 is: 176,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,314.24 : 625,960.40 = 117,815.52 : x
  2. Step 2: Convert to fraction form
    417,314.24/625,960.40 = 117,815.52/x
  3. Step 3: Cross multiply
    417,314.24x = 625,960.40 × 117,815.52
  4. Step 4: Simplify right side
    417,314.24x = 73,747,850,025.41
  5. Step 5: Solve for x
    x = 73,747,850,025.41/417,314.24
  6. Step 6: Final answer
    x = 176,720.19

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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.