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Finding the Fourth Proportional to 423,192.84, 584,006.82 and 232,207.68

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Solution

The fourth proportional to 423,192.84, 584,006.82 and 232,207.68 is: 320,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,192.84 : 584,006.82 = 232,207.68 : x
  2. Step 2: Convert to fraction form
    423,192.84/584,006.82 = 232,207.68/x
  3. Step 3: Cross multiply
    423,192.84x = 584,006.82 × 232,207.68
  4. Step 4: Simplify right side
    423,192.84x = 135,610,868,776.38
  5. Step 5: Solve for x
    x = 135,610,868,776.38/423,192.84
  6. Step 6: Final answer
    x = 320,446.98

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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.