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Finding the Fourth Proportional to 397,591.32, 596,391.82 and 220,444.28

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Solution

The fourth proportional to 397,591.32, 596,391.82 and 220,444.28 is: 330,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,591.32 : 596,391.82 = 220,444.28 : x
  2. Step 2: Convert to fraction form
    397,591.32/596,391.82 = 220,444.28/x
  3. Step 3: Cross multiply
    397,591.32x = 596,391.82 × 220,444.28
  4. Step 4: Simplify right side
    397,591.32x = 131,471,165,357.79
  5. Step 5: Solve for x
    x = 131,471,165,357.79/397,591.32
  6. Step 6: Final answer
    x = 330,669.10

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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.