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Finding the Fourth Proportional to 472,471.30, 708,253.35 and 156,765.70

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Solution

The fourth proportional to 472,471.30, 708,253.35 and 156,765.70 is: 234,998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,471.30 : 708,253.35 = 156,765.70 : x
  2. Step 2: Convert to fraction form
    472,471.30/708,253.35 = 156,765.70/x
  3. Step 3: Cross multiply
    472,471.30x = 708,253.35 × 156,765.70
  4. Step 4: Simplify right side
    472,471.30x = 111,029,832,190.10
  5. Step 5: Solve for x
    x = 111,029,832,190.10/472,471.30
  6. Step 6: Final answer
    x = 234,998.05

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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.