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Finding the Fourth Proportional to 527,614.34, 727,826.99 and 320,945.92

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Solution

The fourth proportional to 527,614.34, 727,826.99 and 320,945.92 is: 442,734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,614.34 : 727,826.99 = 320,945.92 : x
  2. Step 2: Convert to fraction form
    527,614.34/727,826.99 = 320,945.92/x
  3. Step 3: Cross multiply
    527,614.34x = 727,826.99 × 320,945.92
  4. Step 4: Simplify right side
    527,614.34x = 233,593,102,906.38
  5. Step 5: Solve for x
    x = 233,593,102,906.38/527,614.34
  6. Step 6: Final answer
    x = 442,734.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.