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Finding the Fourth Proportional to 492,502.92, 738,776.61 and 150,921.77

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Solution

The fourth proportional to 492,502.92, 738,776.61 and 150,921.77 is: 226,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,502.92 : 738,776.61 = 150,921.77 : x
  2. Step 2: Convert to fraction form
    492,502.92/738,776.61 = 150,921.77/x
  3. Step 3: Cross multiply
    492,502.92x = 738,776.61 × 150,921.77
  4. Step 4: Simplify right side
    492,502.92x = 111,497,471,768.86
  5. Step 5: Solve for x
    x = 111,497,471,768.86/492,502.92
  6. Step 6: Final answer
    x = 226,389.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.