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Finding the Fourth Proportional to 423,474.78, 584,410.23 and 232,502.70

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Solution

The fourth proportional to 423,474.78, 584,410.23 and 232,502.70 is: 320,861.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,474.78 : 584,410.23 = 232,502.70 : x
  2. Step 2: Convert to fraction form
    423,474.78/584,410.23 = 232,502.70/x
  3. Step 3: Cross multiply
    423,474.78x = 584,410.23 × 232,502.70
  4. Step 4: Simplify right side
    423,474.78x = 135,876,956,382.62
  5. Step 5: Solve for x
    x = 135,876,956,382.62/423,474.78
  6. Step 6: Final answer
    x = 320,861.98

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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.