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Finding the Fourth Proportional to 425,466.30, 638,199.45 and 188,832.90

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Solution

The fourth proportional to 425,466.30, 638,199.45 and 188,832.90 is: 283,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,466.30 : 638,199.45 = 188,832.90 : x
  2. Step 2: Convert to fraction form
    425,466.30/638,199.45 = 188,832.90/x
  3. Step 3: Cross multiply
    425,466.30x = 638,199.45 × 188,832.90
  4. Step 4: Simplify right side
    425,466.30x = 120,513,052,921.91
  5. Step 5: Solve for x
    x = 120,513,052,921.91/425,466.30
  6. Step 6: Final answer
    x = 283,249.35

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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.