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Finding the Fourth Proportional to 362,974.56, 544,461.84 and 113,676

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Solution

The fourth proportional to 362,974.56, 544,461.84 and 113,676 is: 170,514

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,974.56 : 544,461.84 = 113,676 : x
  2. Step 2: Convert to fraction form
    362,974.56/544,461.84 = 113,676/x
  3. Step 3: Cross multiply
    362,974.56x = 544,461.84 × 113,676
  4. Step 4: Simplify right side
    362,974.56x = 61,892,244,123.84
  5. Step 5: Solve for x
    x = 61,892,244,123.84/362,974.56
  6. Step 6: Final answer
    x = 170,514

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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.