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Finding the Fourth Proportional to 423,251.78, 584,104.28 and 232,272

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Solution

The fourth proportional to 423,251.78, 584,104.28 and 232,272 is: 320,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,251.78 : 584,104.28 = 232,272 : x
  2. Step 2: Convert to fraction form
    423,251.78/584,104.28 = 232,272/x
  3. Step 3: Cross multiply
    423,251.78x = 584,104.28 × 232,272
  4. Step 4: Simplify right side
    423,251.78x = 135,671,069,324.16
  5. Step 5: Solve for x
    x = 135,671,069,324.16/423,251.78
  6. Step 6: Final answer
    x = 320,544.59

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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.