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Finding the Fourth Proportional to 527,516.40, 727,971.66 and 285,805.11

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Solution

The fourth proportional to 527,516.40, 727,971.66 and 285,805.11 is: 394,410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,516.40 : 727,971.66 = 285,805.11 : x
  2. Step 2: Convert to fraction form
    527,516.40/727,971.66 = 285,805.11/x
  3. Step 3: Cross multiply
    527,516.40x = 727,971.66 × 285,805.11
  4. Step 4: Simplify right side
    527,516.40x = 208,058,020,363.18
  5. Step 5: Solve for x
    x = 208,058,020,363.18/527,516.40
  6. Step 6: Final answer
    x = 394,410.53

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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.