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Finding the Fourth Proportional to 527,989.44, 727,920.56 and 419,453.92

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Solution

The fourth proportional to 527,989.44, 727,920.56 and 419,453.92 is: 578,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,989.44 : 727,920.56 = 419,453.92 : x
  2. Step 2: Convert to fraction form
    527,989.44/727,920.56 = 419,453.92/x
  3. Step 3: Cross multiply
    527,989.44x = 727,920.56 × 419,453.92
  4. Step 4: Simplify right side
    527,989.44x = 305,329,132,340.60
  5. Step 5: Solve for x
    x = 305,329,132,340.60/527,989.44
  6. Step 6: Final answer
    x = 578,286.44

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Why These Related Problems?

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