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Finding the Fourth Proportional to 417,322.32, 625,972.32 and 117,823.56

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Solution

The fourth proportional to 417,322.32, 625,972.32 and 117,823.56 is: 176,732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,322.32 : 625,972.32 = 117,823.56 : x
  2. Step 2: Convert to fraction form
    417,322.32/625,972.32 = 117,823.56/x
  3. Step 3: Cross multiply
    417,322.32x = 625,972.32 × 117,823.56
  4. Step 4: Simplify right side
    417,322.32x = 73,754,287,203.86
  5. Step 5: Solve for x
    x = 73,754,287,203.86/417,322.32
  6. Step 6: Final answer
    x = 176,732.19

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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.