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Finding the Fourth Proportional to 376,489.28, 564,568.14 and 176,866.40

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Solution

The fourth proportional to 376,489.28, 564,568.14 and 176,866.40 is: 265,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,489.28 : 564,568.14 = 176,866.40 : x
  2. Step 2: Convert to fraction form
    376,489.28/564,568.14 = 176,866.40/x
  3. Step 3: Cross multiply
    376,489.28x = 564,568.14 × 176,866.40
  4. Step 4: Simplify right side
    376,489.28x = 99,853,134,476.50
  5. Step 5: Solve for x
    x = 99,853,134,476.50/376,489.28
  6. Step 6: Final answer
    x = 265,221.72

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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.