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Finding the Fourth Proportional to 296,866.40, 445,591.20 and 147,275.60

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Solution

The fourth proportional to 296,866.40, 445,591.20 and 147,275.60 is: 221,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,866.40 : 445,591.20 = 147,275.60 : x
  2. Step 2: Convert to fraction form
    296,866.40/445,591.20 = 147,275.60/x
  3. Step 3: Cross multiply
    296,866.40x = 445,591.20 × 147,275.60
  4. Step 4: Simplify right side
    296,866.40x = 65,624,711,334.72
  5. Step 5: Solve for x
    x = 65,624,711,334.72/296,866.40
  6. Step 6: Final answer
    x = 221,058.06

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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.