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Finding the Fourth Proportional to 299,300.40, 448,972.20 and 180,716.40

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Solution

The fourth proportional to 299,300.40, 448,972.20 and 180,716.40 is: 271,087.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,300.40 : 448,972.20 = 180,716.40 : x
  2. Step 2: Convert to fraction form
    299,300.40/448,972.20 = 180,716.40/x
  3. Step 3: Cross multiply
    299,300.40x = 448,972.20 × 180,716.40
  4. Step 4: Simplify right side
    299,300.40x = 81,136,639,684.08
  5. Step 5: Solve for x
    x = 81,136,639,684.08/299,300.40
  6. Step 6: Final answer
    x = 271,087.64

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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.