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Finding the Fourth Proportional to 508,966.20, 762,947.10 and 284,434.20

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Solution

The fourth proportional to 508,966.20, 762,947.10 and 284,434.20 is: 426,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,966.20 : 762,947.10 = 284,434.20 : x
  2. Step 2: Convert to fraction form
    508,966.20/762,947.10 = 284,434.20/x
  3. Step 3: Cross multiply
    508,966.20x = 762,947.10 × 284,434.20
  4. Step 4: Simplify right side
    508,966.20x = 217,008,248,030.82
  5. Step 5: Solve for x
    x = 217,008,248,030.82/508,966.20
  6. Step 6: Final answer
    x = 426,370.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.