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Finding the Fourth Proportional to 423,463.20, 584,385.84 and 232,494

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Solution

The fourth proportional to 423,463.20, 584,385.84 and 232,494 is: 320,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,463.20 : 584,385.84 = 232,494 : x
  2. Step 2: Convert to fraction form
    423,463.20/584,385.84 = 232,494/x
  3. Step 3: Cross multiply
    423,463.20x = 584,385.84 × 232,494
  4. Step 4: Simplify right side
    423,463.20x = 135,866,201,484.96
  5. Step 5: Solve for x
    x = 135,866,201,484.96/423,463.20
  6. Step 6: Final answer
    x = 320,845.36

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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.