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Finding the Fourth Proportional to 527,372.54, 727,904.32 and 301,149.26

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Solution

The fourth proportional to 527,372.54, 727,904.32 and 301,149.26 is: 415,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,372.54 : 727,904.32 = 301,149.26 : x
  2. Step 2: Convert to fraction form
    527,372.54/727,904.32 = 301,149.26/x
  3. Step 3: Cross multiply
    527,372.54x = 727,904.32 × 301,149.26
  4. Step 4: Simplify right side
    527,372.54x = 219,207,847,318.80
  5. Step 5: Solve for x
    x = 219,207,847,318.80/527,372.54
  6. Step 6: Final answer
    x = 415,660.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.