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Finding the Fourth Proportional to 327,081.78, 490,622.67 and 102,444.08

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Solution

The fourth proportional to 327,081.78, 490,622.67 and 102,444.08 is: 153,666.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,081.78 : 490,622.67 = 102,444.08 : x
  2. Step 2: Convert to fraction form
    327,081.78/490,622.67 = 102,444.08/x
  3. Step 3: Cross multiply
    327,081.78x = 490,622.67 × 102,444.08
  4. Step 4: Simplify right side
    327,081.78x = 50,261,385,602.18
  5. Step 5: Solve for x
    x = 50,261,385,602.18/327,081.78
  6. Step 6: Final answer
    x = 153,666.11

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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.