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Finding the Fourth Proportional to 423,321.60, 584,165.52 and 232,338.24

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Solution

The fourth proportional to 423,321.60, 584,165.52 and 232,338.24 is: 320,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,321.60 : 584,165.52 = 232,338.24 : x
  2. Step 2: Convert to fraction form
    423,321.60/584,165.52 = 232,338.24/x
  3. Step 3: Cross multiply
    423,321.60x = 584,165.52 × 232,338.24
  4. Step 4: Simplify right side
    423,321.60x = 135,723,988,785.49
  5. Step 5: Solve for x
    x = 135,723,988,785.49/423,321.60
  6. Step 6: Final answer
    x = 320,616.73

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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.