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Finding the Fourth Proportional to 418,891, 628,327.14 and 103,350.64

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Solution

The fourth proportional to 418,891, 628,327.14 and 103,350.64 is: 155,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,891 : 628,327.14 = 103,350.64 : x
  2. Step 2: Convert to fraction form
    418,891/628,327.14 = 103,350.64/x
  3. Step 3: Cross multiply
    418,891x = 628,327.14 × 103,350.64
  4. Step 4: Simplify right side
    418,891x = 64,938,012,048.37
  5. Step 5: Solve for x
    x = 64,938,012,048.37/418,891
  6. Step 6: Final answer
    x = 155,023.65

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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.