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Finding the Fourth Proportional to 540,722.52, 810,581.76 and 256,546.62

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Solution

The fourth proportional to 540,722.52, 810,581.76 and 256,546.62 is: 384,581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,722.52 : 810,581.76 = 256,546.62 : x
  2. Step 2: Convert to fraction form
    540,722.52/810,581.76 = 256,546.62/x
  3. Step 3: Cross multiply
    540,722.52x = 810,581.76 × 256,546.62
  4. Step 4: Simplify right side
    540,722.52x = 207,952,010,761.65
  5. Step 5: Solve for x
    x = 207,952,010,761.65/540,722.52
  6. Step 6: Final answer
    x = 384,581.75

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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.