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Finding the Fourth Proportional to 423,833.48, 584,900.88 and 232,864.64

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Solution

The fourth proportional to 423,833.48, 584,900.88 and 232,864.64 is: 321,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,833.48 : 584,900.88 = 232,864.64 : x
  2. Step 2: Convert to fraction form
    423,833.48/584,900.88 = 232,864.64/x
  3. Step 3: Cross multiply
    423,833.48x = 584,900.88 × 232,864.64
  4. Step 4: Simplify right side
    423,833.48x = 136,202,732,856.88
  5. Step 5: Solve for x
    x = 136,202,732,856.88/423,833.48
  6. Step 6: Final answer
    x = 321,359.07

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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.