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Finding the Fourth Proportional to 408,234.68, 612,360.44 and 148,563.41

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Solution

The fourth proportional to 408,234.68, 612,360.44 and 148,563.41 is: 222,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,234.68 : 612,360.44 = 148,563.41 : x
  2. Step 2: Convert to fraction form
    408,234.68/612,360.44 = 148,563.41/x
  3. Step 3: Cross multiply
    408,234.68x = 612,360.44 × 148,563.41
  4. Step 4: Simplify right side
    408,234.68x = 90,974,357,017.81
  5. Step 5: Solve for x
    x = 90,974,357,017.81/408,234.68
  6. Step 6: Final answer
    x = 222,848.19

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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.