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Finding the Fourth Proportional to 423,642.78, 584,637.18 and 232,660.26

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Solution

The fourth proportional to 423,642.78, 584,637.18 and 232,660.26 is: 321,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,642.78 : 584,637.18 = 232,660.26 : x
  2. Step 2: Convert to fraction form
    423,642.78/584,637.18 = 232,660.26/x
  3. Step 3: Cross multiply
    423,642.78x = 584,637.18 × 232,660.26
  4. Step 4: Simplify right side
    423,642.78x = 136,021,838,304.47
  5. Step 5: Solve for x
    x = 136,021,838,304.47/423,642.78
  6. Step 6: Final answer
    x = 321,076.73

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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.