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Finding the Fourth Proportional to 527,019.02, 727,286.50 and 285,301.60

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Solution

The fourth proportional to 527,019.02, 727,286.50 and 285,301.60 is: 393,716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,019.02 : 727,286.50 = 285,301.60 : x
  2. Step 2: Convert to fraction form
    527,019.02/727,286.50 = 285,301.60/x
  3. Step 3: Cross multiply
    527,019.02x = 727,286.50 × 285,301.60
  4. Step 4: Simplify right side
    527,019.02x = 207,496,002,108.40
  5. Step 5: Solve for x
    x = 207,496,002,108.40/527,019.02
  6. Step 6: Final answer
    x = 393,716.34

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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.