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Finding the Fourth Proportional to 527,082.05, 727,372.20 and 285,364.59

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Solution

The fourth proportional to 527,082.05, 727,372.20 and 285,364.59 is: 393,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,082.05 : 727,372.20 = 285,364.59 : x
  2. Step 2: Convert to fraction form
    527,082.05/727,372.20 = 285,364.59/x
  3. Step 3: Cross multiply
    527,082.05x = 727,372.20 × 285,364.59
  4. Step 4: Simplify right side
    527,082.05x = 207,566,267,972.87
  5. Step 5: Solve for x
    x = 207,566,267,972.87/527,082.05
  6. Step 6: Final answer
    x = 393,802.57

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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.