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Finding the Fourth Proportional to 423,781.59, 584,574.25 and 253,917.30

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Solution

The fourth proportional to 423,781.59, 584,574.25 and 253,917.30 is: 350,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,781.59 : 584,574.25 = 253,917.30 : x
  2. Step 2: Convert to fraction form
    423,781.59/584,574.25 = 253,917.30/x
  3. Step 3: Cross multiply
    423,781.59x = 584,574.25 × 253,917.30
  4. Step 4: Simplify right side
    423,781.59x = 148,433,515,209.53
  5. Step 5: Solve for x
    x = 148,433,515,209.53/423,781.59
  6. Step 6: Final answer
    x = 350,259.47

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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.