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Finding the Fourth Proportional to 472,324.60, 708,422.10 and 156,748.60

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Solution

The fourth proportional to 472,324.60, 708,422.10 and 156,748.60 is: 235,101.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,324.60 : 708,422.10 = 156,748.60 : x
  2. Step 2: Convert to fraction form
    472,324.60/708,422.10 = 156,748.60/x
  3. Step 3: Cross multiply
    472,324.60x = 708,422.10 × 156,748.60
  4. Step 4: Simplify right side
    472,324.60x = 111,044,172,384.06
  5. Step 5: Solve for x
    x = 111,044,172,384.06/472,324.60
  6. Step 6: Final answer
    x = 235,101.40

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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.