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Finding the Fourth Proportional to 321,766.74, 482,663.07 and 153,200.34

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Solution

The fourth proportional to 321,766.74, 482,663.07 and 153,200.34 is: 229,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,766.74 : 482,663.07 = 153,200.34 : x
  2. Step 2: Convert to fraction form
    321,766.74/482,663.07 = 153,200.34/x
  3. Step 3: Cross multiply
    321,766.74x = 482,663.07 × 153,200.34
  4. Step 4: Simplify right side
    321,766.74x = 73,944,146,429.44
  5. Step 5: Solve for x
    x = 73,944,146,429.44/321,766.74
  6. Step 6: Final answer
    x = 229,806.68

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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.