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Finding the Fourth Proportional to 423,753.24, 584,750.64 and 232,774.68

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Solution

The fourth proportional to 423,753.24, 584,750.64 and 232,774.68 is: 321,213.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,753.24 : 584,750.64 = 232,774.68 : x
  2. Step 2: Convert to fraction form
    423,753.24/584,750.64 = 232,774.68/x
  3. Step 3: Cross multiply
    423,753.24x = 584,750.64 × 232,774.68
  4. Step 4: Simplify right side
    423,753.24x = 136,115,143,105.80
  5. Step 5: Solve for x
    x = 136,115,143,105.80/423,753.24
  6. Step 6: Final answer
    x = 321,213.22

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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.