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Finding the Fourth Proportional to 472,365.80, 708,095.10 and 156,660.20

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Solution

The fourth proportional to 472,365.80, 708,095.10 and 156,660.20 is: 234,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,365.80 : 708,095.10 = 156,660.20 : x
  2. Step 2: Convert to fraction form
    472,365.80/708,095.10 = 156,660.20/x
  3. Step 3: Cross multiply
    472,365.80x = 708,095.10 × 156,660.20
  4. Step 4: Simplify right side
    472,365.80x = 110,930,319,985.02
  5. Step 5: Solve for x
    x = 110,930,319,985.02/472,365.80
  6. Step 6: Final answer
    x = 234,839.86

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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.