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Finding the Fourth Proportional to 527,027.67, 727,298.42 and 285,310.22

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Solution

The fourth proportional to 527,027.67, 727,298.42 and 285,310.22 is: 393,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,027.67 : 727,298.42 = 285,310.22 : x
  2. Step 2: Convert to fraction form
    527,027.67/727,298.42 = 285,310.22/x
  3. Step 3: Cross multiply
    527,027.67x = 727,298.42 × 285,310.22
  4. Step 4: Simplify right side
    527,027.67x = 207,505,667,152.81
  5. Step 5: Solve for x
    x = 207,505,667,152.81/527,027.67
  6. Step 6: Final answer
    x = 393,728.22

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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.