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Finding the Fourth Proportional to 298,414.60, 447,621.90 and 120,927.40

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Solution

The fourth proportional to 298,414.60, 447,621.90 and 120,927.40 is: 181,391.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,414.60 : 447,621.90 = 120,927.40 : x
  2. Step 2: Convert to fraction form
    298,414.60/447,621.90 = 120,927.40/x
  3. Step 3: Cross multiply
    298,414.60x = 447,621.90 × 120,927.40
  4. Step 4: Simplify right side
    298,414.60x = 54,129,752,550.06
  5. Step 5: Solve for x
    x = 54,129,752,550.06/298,414.60
  6. Step 6: Final answer
    x = 181,391.10

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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.