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Finding the Fourth Proportional to 527,198.89, 727,533.15 and 285,481.46

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Solution

The fourth proportional to 527,198.89, 727,533.15 and 285,481.46 is: 393,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,198.89 : 727,533.15 = 285,481.46 : x
  2. Step 2: Convert to fraction form
    527,198.89/727,533.15 = 285,481.46/x
  3. Step 3: Cross multiply
    527,198.89x = 727,533.15 × 285,481.46
  4. Step 4: Simplify right side
    527,198.89x = 207,697,225,860.40
  5. Step 5: Solve for x
    x = 207,697,225,860.40/527,198.89
  6. Step 6: Final answer
    x = 393,963.70

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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.