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Finding the Fourth Proportional to 538,911.20, 807,848.40 and 418,901.60

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Solution

The fourth proportional to 538,911.20, 807,848.40 and 418,901.60 is: 627,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,911.20 : 807,848.40 = 418,901.60 : x
  2. Step 2: Convert to fraction form
    538,911.20/807,848.40 = 418,901.60/x
  3. Step 3: Cross multiply
    538,911.20x = 807,848.40 × 418,901.60
  4. Step 4: Simplify right side
    538,911.20x = 338,408,987,317.44
  5. Step 5: Solve for x
    x = 338,408,987,317.44/538,911.20
  6. Step 6: Final answer
    x = 627,949.44

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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.