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Finding the Fourth Proportional to 298,442.35, 447,382.12 and 148,540.93

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Solution

The fourth proportional to 298,442.35, 447,382.12 and 148,540.93 is: 222,671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,442.35 : 447,382.12 = 148,540.93 : x
  2. Step 2: Convert to fraction form
    298,442.35/447,382.12 = 148,540.93/x
  3. Step 3: Cross multiply
    298,442.35x = 447,382.12 × 148,540.93
  4. Step 4: Simplify right side
    298,442.35x = 66,454,554,016.42
  5. Step 5: Solve for x
    x = 66,454,554,016.42/298,442.35
  6. Step 6: Final answer
    x = 222,671.33

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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.