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Finding the Fourth Proportional to 413,772.40, 620,512.80 and 147,541.60

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Solution

The fourth proportional to 413,772.40, 620,512.80 and 147,541.60 is: 221,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,772.40 : 620,512.80 = 147,541.60 : x
  2. Step 2: Convert to fraction form
    413,772.40/620,512.80 = 147,541.60/x
  3. Step 3: Cross multiply
    413,772.40x = 620,512.80 × 147,541.60
  4. Step 4: Simplify right side
    413,772.40x = 91,551,451,332.48
  5. Step 5: Solve for x
    x = 91,551,451,332.48/413,772.40
  6. Step 6: Final answer
    x = 221,260.41

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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.