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Finding the Fourth Proportional to 423,379.20, 584,269.92 and 232,410

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Solution

The fourth proportional to 423,379.20, 584,269.92 and 232,410 is: 320,729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,379.20 : 584,269.92 = 232,410 : x
  2. Step 2: Convert to fraction form
    423,379.20/584,269.92 = 232,410/x
  3. Step 3: Cross multiply
    423,379.20x = 584,269.92 × 232,410
  4. Step 4: Simplify right side
    423,379.20x = 135,790,172,107.20
  5. Step 5: Solve for x
    x = 135,790,172,107.20/423,379.20
  6. Step 6: Final answer
    x = 320,729.44

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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.