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Finding the Fourth Proportional to 274,123.98, 410,189.50 and 226,294.28

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Solution

The fourth proportional to 274,123.98, 410,189.50 and 226,294.28 is: 338,618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,123.98 : 410,189.50 = 226,294.28 : x
  2. Step 2: Convert to fraction form
    274,123.98/410,189.50 = 226,294.28/x
  3. Step 3: Cross multiply
    274,123.98x = 410,189.50 × 226,294.28
  4. Step 4: Simplify right side
    274,123.98x = 92,823,537,566.06
  5. Step 5: Solve for x
    x = 92,823,537,566.06/274,123.98
  6. Step 6: Final answer
    x = 338,618.82

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1.5x scale

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.