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Finding the Fourth Proportional to 527,028.10, 727,299 and 285,310.64

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Solution

The fourth proportional to 527,028.10, 727,299 and 285,310.64 is: 393,728.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,028.10 : 727,299 = 285,310.64 : x
  2. Step 2: Convert to fraction form
    527,028.10/727,299 = 285,310.64/x
  3. Step 3: Cross multiply
    527,028.10x = 727,299 × 285,310.64
  4. Step 4: Simplify right side
    527,028.10x = 207,506,144,979.61
  5. Step 5: Solve for x
    x = 207,506,144,979.61/527,028.10
  6. Step 6: Final answer
    x = 393,728.81

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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.