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Finding the Fourth Proportional to 650,655.18, 975,872.07 and 177,229.80

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Solution

The fourth proportional to 650,655.18, 975,872.07 and 177,229.80 is: 265,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,655.18 : 975,872.07 = 177,229.80 : x
  2. Step 2: Convert to fraction form
    650,655.18/975,872.07 = 177,229.80/x
  3. Step 3: Cross multiply
    650,655.18x = 975,872.07 × 177,229.80
  4. Step 4: Simplify right side
    650,655.18x = 172,953,611,791.69
  5. Step 5: Solve for x
    x = 172,953,611,791.69/650,655.18
  6. Step 6: Final answer
    x = 265,814.55

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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.