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Finding the Fourth Proportional to 418,532, 627,798 and 107,236

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Solution

The fourth proportional to 418,532, 627,798 and 107,236 is: 160,854

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,532 : 627,798 = 107,236 : x
  2. Step 2: Convert to fraction form
    418,532/627,798 = 107,236/x
  3. Step 3: Cross multiply
    418,532x = 627,798 × 107,236
  4. Step 4: Simplify right side
    418,532x = 67,322,546,328
  5. Step 5: Solve for x
    x = 67,322,546,328/418,532
  6. Step 6: Final answer
    x = 160,854

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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.