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Finding the Fourth Proportional to 532,915.20, 799,178.40 and 177,940.80

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Solution

The fourth proportional to 532,915.20, 799,178.40 and 177,940.80 is: 266,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,915.20 : 799,178.40 = 177,940.80 : x
  2. Step 2: Convert to fraction form
    532,915.20/799,178.40 = 177,940.80/x
  3. Step 3: Cross multiply
    532,915.20x = 799,178.40 × 177,940.80
  4. Step 4: Simplify right side
    532,915.20x = 142,206,443,838.72
  5. Step 5: Solve for x
    x = 142,206,443,838.72/532,915.20
  6. Step 6: Final answer
    x = 266,846.29

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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.