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Finding the Fourth Proportional to 298,442.30, 447,063.84 and 148,228.20

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Solution

The fourth proportional to 298,442.30, 447,063.84 and 148,228.20 is: 222,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,442.30 : 447,063.84 = 148,228.20 : x
  2. Step 2: Convert to fraction form
    298,442.30/447,063.84 = 148,228.20/x
  3. Step 3: Cross multiply
    298,442.30x = 447,063.84 × 148,228.20
  4. Step 4: Simplify right side
    298,442.30x = 66,267,468,288.29
  5. Step 5: Solve for x
    x = 66,267,468,288.29/298,442.30
  6. Step 6: Final answer
    x = 222,044.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.