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Finding the Fourth Proportional to 322,873.85, 484,419.77 and 142,934.46

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Solution

The fourth proportional to 322,873.85, 484,419.77 and 142,934.46 is: 214,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,873.85 : 484,419.77 = 142,934.46 : x
  2. Step 2: Convert to fraction form
    322,873.85/484,419.77 = 142,934.46/x
  3. Step 3: Cross multiply
    322,873.85x = 484,419.77 × 142,934.46
  4. Step 4: Simplify right side
    322,873.85x = 69,240,276,243.03
  5. Step 5: Solve for x
    x = 69,240,276,243.03/322,873.85
  6. Step 6: Final answer
    x = 214,449.93

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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.