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Finding the Fourth Proportional to 423,291.92, 584,123.60 and 232,301.52

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Solution

The fourth proportional to 423,291.92, 584,123.60 and 232,301.52 is: 320,565.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,291.92 : 584,123.60 = 232,301.52 : x
  2. Step 2: Convert to fraction form
    423,291.92/584,123.60 = 232,301.52/x
  3. Step 3: Cross multiply
    423,291.92x = 584,123.60 × 232,301.52
  4. Step 4: Simplify right side
    423,291.92x = 135,692,800,147.87
  5. Step 5: Solve for x
    x = 135,692,800,147.87/423,291.92
  6. Step 6: Final answer
    x = 320,565.53

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1.5x scale

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.