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Finding the Fourth Proportional to 418,542.40, 627,784.80 and 134,228.80

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Solution

The fourth proportional to 418,542.40, 627,784.80 and 134,228.80 is: 201,333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,542.40 : 627,784.80 = 134,228.80 : x
  2. Step 2: Convert to fraction form
    418,542.40/627,784.80 = 134,228.80/x
  3. Step 3: Cross multiply
    418,542.40x = 627,784.80 × 134,228.80
  4. Step 4: Simplify right side
    418,542.40x = 84,266,800,362.24
  5. Step 5: Solve for x
    x = 84,266,800,362.24/418,542.40
  6. Step 6: Final answer
    x = 201,333.96

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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.