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Finding the Fourth Proportional to 423,257.12, 584,101.95 and 232,288.28

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Solution

The fourth proportional to 423,257.12, 584,101.95 and 232,288.28 is: 320,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,257.12 : 584,101.95 = 232,288.28 : x
  2. Step 2: Convert to fraction form
    423,257.12/584,101.95 = 232,288.28/x
  3. Step 3: Cross multiply
    423,257.12x = 584,101.95 × 232,288.28
  4. Step 4: Simplify right side
    423,257.12x = 135,680,037,310.15
  5. Step 5: Solve for x
    x = 135,680,037,310.15/423,257.12
  6. Step 6: Final answer
    x = 320,561.74

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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.