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Finding the Fourth Proportional to 616,675.68, 925,023.76 and 217,321.28

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Solution

The fourth proportional to 616,675.68, 925,023.76 and 217,321.28 is: 325,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,675.68 : 925,023.76 = 217,321.28 : x
  2. Step 2: Convert to fraction form
    616,675.68/925,023.76 = 217,321.28/x
  3. Step 3: Cross multiply
    616,675.68x = 925,023.76 × 217,321.28
  4. Step 4: Simplify right side
    616,675.68x = 201,027,347,553.61
  5. Step 5: Solve for x
    x = 201,027,347,553.61/616,675.68
  6. Step 6: Final answer
    x = 325,985.53

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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.