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Finding the Fourth Proportional to 321,776.96, 482,351.36 and 153,251.60

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Solution

The fourth proportional to 321,776.96, 482,351.36 and 153,251.60 is: 229,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,776.96 : 482,351.36 = 153,251.60 : x
  2. Step 2: Convert to fraction form
    321,776.96/482,351.36 = 153,251.60/x
  3. Step 3: Cross multiply
    321,776.96x = 482,351.36 × 153,251.60
  4. Step 4: Simplify right side
    321,776.96x = 73,921,114,504.16
  5. Step 5: Solve for x
    x = 73,921,114,504.16/321,776.96
  6. Step 6: Final answer
    x = 229,727.81

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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.