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Finding the Fourth Proportional to 423,821.69, 584,874.17 and 232,847.38

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Solution

The fourth proportional to 423,821.69, 584,874.17 and 232,847.38 is: 321,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,821.69 : 584,874.17 = 232,847.38 : x
  2. Step 2: Convert to fraction form
    423,821.69/584,874.17 = 232,847.38/x
  3. Step 3: Cross multiply
    423,821.69x = 584,874.17 × 232,847.38
  4. Step 4: Simplify right side
    423,821.69x = 136,186,418,114.18
  5. Step 5: Solve for x
    x = 136,186,418,114.18/423,821.69
  6. Step 6: Final answer
    x = 321,329.52

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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.