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Finding the Fourth Proportional to 417,079.54, 625,706.79 and 180,455.86

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Solution

The fourth proportional to 417,079.54, 625,706.79 and 180,455.86 is: 270,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,079.54 : 625,706.79 = 180,455.86 : x
  2. Step 2: Convert to fraction form
    417,079.54/625,706.79 = 180,455.86/x
  3. Step 3: Cross multiply
    417,079.54x = 625,706.79 × 180,455.86
  4. Step 4: Simplify right side
    417,079.54x = 112,912,456,897.29
  5. Step 5: Solve for x
    x = 112,912,456,897.29/417,079.54
  6. Step 6: Final answer
    x = 270,721.64

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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.