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Finding the Fourth Proportional to 527,028.49, 727,299.56 and 285,311.06

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Solution

The fourth proportional to 527,028.49, 727,299.56 and 285,311.06 is: 393,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,028.49 : 727,299.56 = 285,311.06 : x
  2. Step 2: Convert to fraction form
    527,028.49/727,299.56 = 285,311.06/x
  3. Step 3: Cross multiply
    527,028.49x = 727,299.56 × 285,311.06
  4. Step 4: Simplify right side
    527,028.49x = 207,506,608,401.13
  5. Step 5: Solve for x
    x = 207,506,608,401.13/527,028.49
  6. Step 6: Final answer
    x = 393,729.39

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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.