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Finding the Fourth Proportional to 298,188.84, 447,426.79 and 148,442.22

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Solution

The fourth proportional to 298,188.84, 447,426.79 and 148,442.22 is: 222,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,188.84 : 447,426.79 = 148,442.22 : x
  2. Step 2: Convert to fraction form
    298,188.84/447,426.79 = 148,442.22/x
  3. Step 3: Cross multiply
    298,188.84x = 447,426.79 × 148,442.22
  4. Step 4: Simplify right side
    298,188.84x = 66,417,025,623.97
  5. Step 5: Solve for x
    x = 66,417,025,623.97/298,188.84
  6. Step 6: Final answer
    x = 222,734.78

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1.5x scale

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.