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Finding the Fourth Proportional to 423,404.28, 584,312.94 and 232,432.20

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Solution

The fourth proportional to 423,404.28, 584,312.94 and 232,432.20 is: 320,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,404.28 : 584,312.94 = 232,432.20 : x
  2. Step 2: Convert to fraction form
    423,404.28/584,312.94 = 232,432.20/x
  3. Step 3: Cross multiply
    423,404.28x = 584,312.94 × 232,432.20
  4. Step 4: Simplify right side
    423,404.28x = 135,813,142,132.67
  5. Step 5: Solve for x
    x = 135,813,142,132.67/423,404.28
  6. Step 6: Final answer
    x = 320,764.69

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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.