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Finding the Fourth Proportional to 274,499.38, 411,782.28 and 96,970.06

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Solution

The fourth proportional to 274,499.38, 411,782.28 and 96,970.06 is: 145,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,499.38 : 411,782.28 = 96,970.06 : x
  2. Step 2: Convert to fraction form
    274,499.38/411,782.28 = 96,970.06/x
  3. Step 3: Cross multiply
    274,499.38x = 411,782.28 × 96,970.06
  4. Step 4: Simplify right side
    274,499.38x = 39,930,552,398.54
  5. Step 5: Solve for x
    x = 39,930,552,398.54/274,499.38
  6. Step 6: Final answer
    x = 145,466.82

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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.