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Finding the Fourth Proportional to 397,334.40, 596,001.60 and 147,964.80

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Solution

The fourth proportional to 397,334.40, 596,001.60 and 147,964.80 is: 221,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,334.40 : 596,001.60 = 147,964.80 : x
  2. Step 2: Convert to fraction form
    397,334.40/596,001.60 = 147,964.80/x
  3. Step 3: Cross multiply
    397,334.40x = 596,001.60 × 147,964.80
  4. Step 4: Simplify right side
    397,334.40x = 88,187,257,543.68
  5. Step 5: Solve for x
    x = 88,187,257,543.68/397,334.40
  6. Step 6: Final answer
    x = 221,947.20

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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.