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Finding the Fourth Proportional to 423,502.92, 584,435.17 and 232,528.68

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Solution

The fourth proportional to 423,502.92, 584,435.17 and 232,528.68 is: 320,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,502.92 : 584,435.17 = 232,528.68 : x
  2. Step 2: Convert to fraction form
    423,502.92/584,435.17 = 232,528.68/x
  3. Step 3: Cross multiply
    423,502.92x = 584,435.17 × 232,528.68
  4. Step 4: Simplify right side
    423,502.92x = 135,897,938,625.68
  5. Step 5: Solve for x
    x = 135,897,938,625.68/423,502.92
  6. Step 6: Final answer
    x = 320,890.20

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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.