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Finding the Fourth Proportional to 299,282.60, 448,340.70 and 180,601.40

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Solution

The fourth proportional to 299,282.60, 448,340.70 and 180,601.40 is: 270,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,282.60 : 448,340.70 = 180,601.40 : x
  2. Step 2: Convert to fraction form
    299,282.60/448,340.70 = 180,601.40/x
  3. Step 3: Cross multiply
    299,282.60x = 448,340.70 × 180,601.40
  4. Step 4: Simplify right side
    299,282.60x = 80,970,958,096.98
  5. Step 5: Solve for x
    x = 80,970,958,096.98/299,282.60
  6. Step 6: Final answer
    x = 270,550.17

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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.