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Finding the Fourth Proportional to 376,712.68, 564,834.12 and 176,947.24

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Solution

The fourth proportional to 376,712.68, 564,834.12 and 176,947.24 is: 265,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,712.68 : 564,834.12 = 176,947.24 : x
  2. Step 2: Convert to fraction form
    376,712.68/564,834.12 = 176,947.24/x
  3. Step 3: Cross multiply
    376,712.68x = 564,834.12 × 176,947.24
  4. Step 4: Simplify right side
    376,712.68x = 99,945,838,591.83
  5. Step 5: Solve for x
    x = 99,945,838,591.83/376,712.68
  6. Step 6: Final answer
    x = 265,310.52

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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.