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Finding the Fourth Proportional to 357,713.28, 493,502.76 and 230,463

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Solution

The fourth proportional to 357,713.28, 493,502.76 and 230,463 is: 317,947.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,713.28 : 493,502.76 = 230,463 : x
  2. Step 2: Convert to fraction form
    357,713.28/493,502.76 = 230,463/x
  3. Step 3: Cross multiply
    357,713.28x = 493,502.76 × 230,463
  4. Step 4: Simplify right side
    357,713.28x = 113,734,126,577.88
  5. Step 5: Solve for x
    x = 113,734,126,577.88/357,713.28
  6. Step 6: Final answer
    x = 317,947.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.