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Finding the Fourth Proportional to 527,447.70, 791,113.48 and 148,380.48

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Solution

The fourth proportional to 527,447.70, 791,113.48 and 148,380.48 is: 222,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,447.70 : 791,113.48 = 148,380.48 : x
  2. Step 2: Convert to fraction form
    527,447.70/791,113.48 = 148,380.48/x
  3. Step 3: Cross multiply
    527,447.70x = 791,113.48 × 148,380.48
  4. Step 4: Simplify right side
    527,447.70x = 117,385,797,896.87
  5. Step 5: Solve for x
    x = 117,385,797,896.87/527,447.70
  6. Step 6: Final answer
    x = 222,554.38

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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.