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Finding the Fourth Proportional to 397,624.65, 548,758.58 and 225,598.65

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Solution

The fourth proportional to 397,624.65, 548,758.58 and 225,598.65 is: 311,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,624.65 : 548,758.58 = 225,598.65 : x
  2. Step 2: Convert to fraction form
    397,624.65/548,758.58 = 225,598.65/x
  3. Step 3: Cross multiply
    397,624.65x = 548,758.58 × 225,598.65
  4. Step 4: Simplify right side
    397,624.65x = 123,799,194,823.92
  5. Step 5: Solve for x
    x = 123,799,194,823.92/397,624.65
  6. Step 6: Final answer
    x = 311,346.88

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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.