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Finding the Fourth Proportional to 443,815.20, 665,708.22 and 177,504.21

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Solution

The fourth proportional to 443,815.20, 665,708.22 and 177,504.21 is: 266,250.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,815.20 : 665,708.22 = 177,504.21 : x
  2. Step 2: Convert to fraction form
    443,815.20/665,708.22 = 177,504.21/x
  3. Step 3: Cross multiply
    443,815.20x = 665,708.22 × 177,504.21
  4. Step 4: Simplify right side
    443,815.20x = 118,166,011,681.61
  5. Step 5: Solve for x
    x = 118,166,011,681.61/443,815.20
  6. Step 6: Final answer
    x = 266,250.48

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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.