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Finding the Fourth Proportional to 498,427.23, 747,604.49 and 194,764.31

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Solution

The fourth proportional to 498,427.23, 747,604.49 and 194,764.31 is: 292,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,427.23 : 747,604.49 = 194,764.31 : x
  2. Step 2: Convert to fraction form
    498,427.23/747,604.49 = 194,764.31/x
  3. Step 3: Cross multiply
    498,427.23x = 747,604.49 × 194,764.31
  4. Step 4: Simplify right side
    498,427.23x = 145,606,667,935.91
  5. Step 5: Solve for x
    x = 145,606,667,935.91/498,427.23
  6. Step 6: Final answer
    x = 292,132.25

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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.