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Finding the Fourth Proportional to 423,434.52, 584,342.10 and 232,449.48

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Solution

The fourth proportional to 423,434.52, 584,342.10 and 232,449.48 is: 320,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,434.52 : 584,342.10 = 232,449.48 : x
  2. Step 2: Convert to fraction form
    423,434.52/584,342.10 = 232,449.48/x
  3. Step 3: Cross multiply
    423,434.52x = 584,342.10 × 232,449.48
  4. Step 4: Simplify right side
    423,434.52x = 135,830,017,287.11
  5. Step 5: Solve for x
    x = 135,830,017,287.11/423,434.52
  6. Step 6: Final answer
    x = 320,781.63

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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.