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Finding the Fourth Proportional to 417,076.54, 625,702.29 and 180,452.86

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Solution

The fourth proportional to 417,076.54, 625,702.29 and 180,452.86 is: 270,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,076.54 : 625,702.29 = 180,452.86 : x
  2. Step 2: Convert to fraction form
    417,076.54/625,702.29 = 180,452.86/x
  3. Step 3: Cross multiply
    417,076.54x = 625,702.29 × 180,452.86
  4. Step 4: Simplify right side
    417,076.54x = 112,909,767,739.05
  5. Step 5: Solve for x
    x = 112,909,767,739.05/417,076.54
  6. Step 6: Final answer
    x = 270,717.14

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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.