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Finding the Fourth Proportional to 423,001.86, 583,739.38 and 232,013.89

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Solution

The fourth proportional to 423,001.86, 583,739.38 and 232,013.89 is: 320,177.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,001.86 : 583,739.38 = 232,013.89 : x
  2. Step 2: Convert to fraction form
    423,001.86/583,739.38 = 232,013.89/x
  3. Step 3: Cross multiply
    423,001.86x = 583,739.38 × 232,013.89
  4. Step 4: Simplify right side
    423,001.86x = 135,435,644,299.99
  5. Step 5: Solve for x
    x = 135,435,644,299.99/423,001.86
  6. Step 6: Final answer
    x = 320,177.42

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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.