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Finding the Fourth Proportional to 418,184.64, 627,300.36 and 133,900.20

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Solution

The fourth proportional to 418,184.64, 627,300.36 and 133,900.20 is: 200,857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,184.64 : 627,300.36 = 133,900.20 : x
  2. Step 2: Convert to fraction form
    418,184.64/627,300.36 = 133,900.20/x
  3. Step 3: Cross multiply
    418,184.64x = 627,300.36 × 133,900.20
  4. Step 4: Simplify right side
    418,184.64x = 83,995,643,664.07
  5. Step 5: Solve for x
    x = 83,995,643,664.07/418,184.64
  6. Step 6: Final answer
    x = 200,857.79

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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.