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Finding the Fourth Proportional to 442,770.76, 664,510.02 and 229,599.28

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Solution

The fourth proportional to 442,770.76, 664,510.02 and 229,599.28 is: 344,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,770.76 : 664,510.02 = 229,599.28 : x
  2. Step 2: Convert to fraction form
    442,770.76/664,510.02 = 229,599.28/x
  3. Step 3: Cross multiply
    442,770.76x = 664,510.02 × 229,599.28
  4. Step 4: Simplify right side
    442,770.76x = 152,571,022,144.79
  5. Step 5: Solve for x
    x = 152,571,022,144.79/442,770.76
  6. Step 6: Final answer
    x = 344,582.42

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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.