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Finding the Fourth Proportional to 527,155.36, 727,474.84 and 285,438.06

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Solution

The fourth proportional to 527,155.36, 727,474.84 and 285,438.06 is: 393,904.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,155.36 : 727,474.84 = 285,438.06 : x
  2. Step 2: Convert to fraction form
    527,155.36/727,474.84 = 285,438.06/x
  3. Step 3: Cross multiply
    527,155.36x = 727,474.84 × 285,438.06
  4. Step 4: Simplify right side
    527,155.36x = 207,649,007,028.41
  5. Step 5: Solve for x
    x = 207,649,007,028.41/527,155.36
  6. Step 6: Final answer
    x = 393,904.76

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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.