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Finding the Fourth Proportional to 283,218.64, 424,726.76 and 93,644.01

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Solution

The fourth proportional to 283,218.64, 424,726.76 and 93,644.01 is: 140,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,218.64 : 424,726.76 = 93,644.01 : x
  2. Step 2: Convert to fraction form
    283,218.64/424,726.76 = 93,644.01/x
  3. Step 3: Cross multiply
    283,218.64x = 424,726.76 × 93,644.01
  4. Step 4: Simplify right side
    283,218.64x = 39,773,117,194.82
  5. Step 5: Solve for x
    x = 39,773,117,194.82/283,218.64
  6. Step 6: Final answer
    x = 140,432.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.