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Finding the Fourth Proportional to 412,082.40, 617,828.40 and 159,146.40

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Solution

The fourth proportional to 412,082.40, 617,828.40 and 159,146.40 is: 238,605.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,082.40 : 617,828.40 = 159,146.40 : x
  2. Step 2: Convert to fraction form
    412,082.40/617,828.40 = 159,146.40/x
  3. Step 3: Cross multiply
    412,082.40x = 617,828.40 × 159,146.40
  4. Step 4: Simplify right side
    412,082.40x = 98,325,165,677.76
  5. Step 5: Solve for x
    x = 98,325,165,677.76/412,082.40
  6. Step 6: Final answer
    x = 238,605.59

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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.