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Finding the Fourth Proportional to 527,171.68, 727,509.36 and 300,838.24

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Solution

The fourth proportional to 527,171.68, 727,509.36 and 300,838.24 is: 415,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,171.68 : 727,509.36 = 300,838.24 : x
  2. Step 2: Convert to fraction form
    527,171.68/727,509.36 = 300,838.24/x
  3. Step 3: Cross multiply
    527,171.68x = 727,509.36 × 300,838.24
  4. Step 4: Simplify right side
    527,171.68x = 218,862,635,445.93
  5. Step 5: Solve for x
    x = 218,862,635,445.93/527,171.68
  6. Step 6: Final answer
    x = 415,163.87

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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.