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Finding the Fourth Proportional to 472,356.20, 708,380.14 and 156,728.36

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Solution

The fourth proportional to 472,356.20, 708,380.14 and 156,728.36 is: 235,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,356.20 : 708,380.14 = 156,728.36 : x
  2. Step 2: Convert to fraction form
    472,356.20/708,380.14 = 156,728.36/x
  3. Step 3: Cross multiply
    472,356.20x = 708,380.14 × 156,728.36
  4. Step 4: Simplify right side
    472,356.20x = 111,023,257,598.77
  5. Step 5: Solve for x
    x = 111,023,257,598.77/472,356.20
  6. Step 6: Final answer
    x = 235,041.39

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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.