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Finding the Fourth Proportional to 299,265.54, 448,913.70 and 284,131.50

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Solution

The fourth proportional to 299,265.54, 448,913.70 and 284,131.50 is: 426,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,265.54 : 448,913.70 = 284,131.50 : x
  2. Step 2: Convert to fraction form
    299,265.54/448,913.70 = 284,131.50/x
  3. Step 3: Cross multiply
    299,265.54x = 448,913.70 × 284,131.50
  4. Step 4: Simplify right side
    299,265.54x = 127,550,522,951.55
  5. Step 5: Solve for x
    x = 127,550,522,951.55/299,265.54
  6. Step 6: Final answer
    x = 426,211.86

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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.