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Finding the Fourth Proportional to 299,140.80, 448,711.20 and 265,963.20

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Solution

The fourth proportional to 299,140.80, 448,711.20 and 265,963.20 is: 398,944.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,140.80 : 448,711.20 = 265,963.20 : x
  2. Step 2: Convert to fraction form
    299,140.80/448,711.20 = 265,963.20/x
  3. Step 3: Cross multiply
    299,140.80x = 448,711.20 × 265,963.20
  4. Step 4: Simplify right side
    299,140.80x = 119,340,666,627.84
  5. Step 5: Solve for x
    x = 119,340,666,627.84/299,140.80
  6. Step 6: Final answer
    x = 398,944.80

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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.