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Finding the Fourth Proportional to 613,134.56, 919,734.65 and 192,443.24

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Solution

The fourth proportional to 613,134.56, 919,734.65 and 192,443.24 is: 288,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,134.56 : 919,734.65 = 192,443.24 : x
  2. Step 2: Convert to fraction form
    613,134.56/919,734.65 = 192,443.24/x
  3. Step 3: Cross multiply
    613,134.56x = 919,734.65 × 192,443.24
  4. Step 4: Simplify right side
    613,134.56x = 176,996,718,045.05
  5. Step 5: Solve for x
    x = 176,996,718,045.05/613,134.56
  6. Step 6: Final answer
    x = 288,675.16

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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.