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Finding the Fourth Proportional to 432,100.80, 648,151.20 and 222,148.80

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Solution

The fourth proportional to 432,100.80, 648,151.20 and 222,148.80 is: 333,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,100.80 : 648,151.20 = 222,148.80 : x
  2. Step 2: Convert to fraction form
    432,100.80/648,151.20 = 222,148.80/x
  3. Step 3: Cross multiply
    432,100.80x = 648,151.20 × 222,148.80
  4. Step 4: Simplify right side
    432,100.80x = 143,986,011,298.56
  5. Step 5: Solve for x
    x = 143,986,011,298.56/432,100.80
  6. Step 6: Final answer
    x = 333,223.20

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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.