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Finding the Fourth Proportional to 274,644.73, 411,475.01 and 97,038.46

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Solution

The fourth proportional to 274,644.73, 411,475.01 and 97,038.46 is: 145,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,644.73 : 411,475.01 = 97,038.46 : x
  2. Step 2: Convert to fraction form
    274,644.73/411,475.01 = 97,038.46/x
  3. Step 3: Cross multiply
    274,644.73x = 411,475.01 × 97,038.46
  4. Step 4: Simplify right side
    274,644.73x = 39,928,899,559.33
  5. Step 5: Solve for x
    x = 39,928,899,559.33/274,644.73
  6. Step 6: Final answer
    x = 145,383.82

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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.