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Finding the Fourth Proportional to 274,895.38, 412,266.30 and 97,354.72

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Solution

The fourth proportional to 274,895.38, 412,266.30 and 97,354.72 is: 146,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,895.38 : 412,266.30 = 97,354.72 : x
  2. Step 2: Convert to fraction form
    274,895.38/412,266.30 = 97,354.72/x
  3. Step 3: Cross multiply
    274,895.38x = 412,266.30 × 97,354.72
  4. Step 4: Simplify right side
    274,895.38x = 40,136,070,201.94
  5. Step 5: Solve for x
    x = 40,136,070,201.94/274,895.38
  6. Step 6: Final answer
    x = 146,004.89

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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.