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Finding the Fourth Proportional to 305,238.40, 457,906.56 and 147,479.20

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Solution

The fourth proportional to 305,238.40, 457,906.56 and 147,479.20 is: 221,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,238.40 : 457,906.56 = 147,479.20 : x
  2. Step 2: Convert to fraction form
    305,238.40/457,906.56 = 147,479.20/x
  3. Step 3: Cross multiply
    305,238.40x = 457,906.56 × 147,479.20
  4. Step 4: Simplify right side
    305,238.40x = 67,531,693,143.55
  5. Step 5: Solve for x
    x = 67,531,693,143.55/305,238.40
  6. Step 6: Final answer
    x = 221,242.46

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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.