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Finding the Fourth Proportional to 264,570.92, 396,441.66 and 224,965.16

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Solution

The fourth proportional to 264,570.92, 396,441.66 and 224,965.16 is: 337,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,570.92 : 396,441.66 = 224,965.16 : x
  2. Step 2: Convert to fraction form
    264,570.92/396,441.66 = 224,965.16/x
  3. Step 3: Cross multiply
    264,570.92x = 396,441.66 × 224,965.16
  4. Step 4: Simplify right side
    264,570.92x = 89,185,561,472.57
  5. Step 5: Solve for x
    x = 89,185,561,472.57/264,570.92
  6. Step 6: Final answer
    x = 337,095.10

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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.