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Finding the Fourth Proportional to 418,175.62, 627,168.85 and 193,412.72

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Solution

The fourth proportional to 418,175.62, 627,168.85 and 193,412.72 is: 290,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,175.62 : 627,168.85 = 193,412.72 : x
  2. Step 2: Convert to fraction form
    418,175.62/627,168.85 = 193,412.72/x
  3. Step 3: Cross multiply
    418,175.62x = 627,168.85 × 193,412.72
  4. Step 4: Simplify right side
    418,175.62x = 121,302,433,177.77
  5. Step 5: Solve for x
    x = 121,302,433,177.77/418,175.62
  6. Step 6: Final answer
    x = 290,075.34

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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.