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Finding the Fourth Proportional to 306,044.80, 459,067.20 and 106,385.37

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Solution

The fourth proportional to 306,044.80, 459,067.20 and 106,385.37 is: 159,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,044.80 : 459,067.20 = 106,385.37 : x
  2. Step 2: Convert to fraction form
    306,044.80/459,067.20 = 106,385.37/x
  3. Step 3: Cross multiply
    306,044.80x = 459,067.20 × 106,385.37
  4. Step 4: Simplify right side
    306,044.80x = 48,838,031,631.53
  5. Step 5: Solve for x
    x = 48,838,031,631.53/306,044.80
  6. Step 6: Final answer
    x = 159,578.05

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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.