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Finding the Fourth Proportional to 322,054.85, 482,557.37 and 255,132.65

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Solution

The fourth proportional to 322,054.85, 482,557.37 and 255,132.65 is: 382,283.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,054.85 : 482,557.37 = 255,132.65 : x
  2. Step 2: Convert to fraction form
    322,054.85/482,557.37 = 255,132.65/x
  3. Step 3: Cross multiply
    322,054.85x = 482,557.37 × 255,132.65
  4. Step 4: Simplify right side
    322,054.85x = 123,116,140,515.86
  5. Step 5: Solve for x
    x = 123,116,140,515.86/322,054.85
  6. Step 6: Final answer
    x = 382,283.14

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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.