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Finding the Fourth Proportional to 418,965.24, 628,546.26 and 138,482.46

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Solution

The fourth proportional to 418,965.24, 628,546.26 and 138,482.46 is: 207,756.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,965.24 : 628,546.26 = 138,482.46 : x
  2. Step 2: Convert to fraction form
    418,965.24/628,546.26 = 138,482.46/x
  3. Step 3: Cross multiply
    418,965.24x = 628,546.26 × 138,482.46
  4. Step 4: Simplify right side
    418,965.24x = 87,042,632,308.60
  5. Step 5: Solve for x
    x = 87,042,632,308.60/418,965.24
  6. Step 6: Final answer
    x = 207,756.21

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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.