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Finding the Fourth Proportional to 494,427.78, 741,641.67 and 178,810.88

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Solution

The fourth proportional to 494,427.78, 741,641.67 and 178,810.88 is: 268,216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,427.78 : 741,641.67 = 178,810.88 : x
  2. Step 2: Convert to fraction form
    494,427.78/741,641.67 = 178,810.88/x
  3. Step 3: Cross multiply
    494,427.78x = 741,641.67 × 178,810.88
  4. Step 4: Simplify right side
    494,427.78x = 132,613,595,949.16
  5. Step 5: Solve for x
    x = 132,613,595,949.16/494,427.78
  6. Step 6: Final answer
    x = 268,216.31

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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.