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Finding the Fourth Proportional to 527,519.40, 727,975.80 and 285,808.14

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Solution

The fourth proportional to 527,519.40, 727,975.80 and 285,808.14 is: 394,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,519.40 : 727,975.80 = 285,808.14 : x
  2. Step 2: Convert to fraction form
    527,519.40/727,975.80 = 285,808.14/x
  3. Step 3: Cross multiply
    527,519.40x = 727,975.80 × 285,808.14
  4. Step 4: Simplify right side
    527,519.40x = 208,061,409,363.01
  5. Step 5: Solve for x
    x = 208,061,409,363.01/527,519.40
  6. Step 6: Final answer
    x = 394,414.71

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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.