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Finding the Fourth Proportional to 299,454.80, 448,808.42 and 149,737.92

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Solution

The fourth proportional to 299,454.80, 448,808.42 and 149,737.92 is: 224,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,454.80 : 448,808.42 = 149,737.92 : x
  2. Step 2: Convert to fraction form
    299,454.80/448,808.42 = 149,737.92/x
  3. Step 3: Cross multiply
    299,454.80x = 448,808.42 × 149,737.92
  4. Step 4: Simplify right side
    299,454.80x = 67,203,639,289.29
  5. Step 5: Solve for x
    x = 67,203,639,289.29/299,454.80
  6. Step 6: Final answer
    x = 224,419.98

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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.