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Finding the Fourth Proportional to 413,754.12, 620,679.78 and 147,552.48

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Solution

The fourth proportional to 413,754.12, 620,679.78 and 147,552.48 is: 221,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,754.12 : 620,679.78 = 147,552.48 : x
  2. Step 2: Convert to fraction form
    413,754.12/620,679.78 = 147,552.48/x
  3. Step 3: Cross multiply
    413,754.12x = 620,679.78 × 147,552.48
  4. Step 4: Simplify right side
    413,754.12x = 91,582,840,824.85
  5. Step 5: Solve for x
    x = 91,582,840,824.85/413,754.12
  6. Step 6: Final answer
    x = 221,346.05

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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.