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Finding the Fourth Proportional to 472,499.80, 708,296.10 and 156,794.20

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Solution

The fourth proportional to 472,499.80, 708,296.10 and 156,794.20 is: 235,040.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,499.80 : 708,296.10 = 156,794.20 : x
  2. Step 2: Convert to fraction form
    472,499.80/708,296.10 = 156,794.20/x
  3. Step 3: Cross multiply
    472,499.80x = 708,296.10 × 156,794.20
  4. Step 4: Simplify right side
    472,499.80x = 111,056,720,362.62
  5. Step 5: Solve for x
    x = 111,056,720,362.62/472,499.80
  6. Step 6: Final answer
    x = 235,040.78

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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.