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Finding the Fourth Proportional to 327,242.68, 490,870.16 and 102,598.13

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Solution

The fourth proportional to 327,242.68, 490,870.16 and 102,598.13 is: 153,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,242.68 : 490,870.16 = 102,598.13 : x
  2. Step 2: Convert to fraction form
    327,242.68/490,870.16 = 102,598.13/x
  3. Step 3: Cross multiply
    327,242.68x = 490,870.16 × 102,598.13
  4. Step 4: Simplify right side
    327,242.68x = 50,362,361,972.47
  5. Step 5: Solve for x
    x = 50,362,361,972.47/327,242.68
  6. Step 6: Final answer
    x = 153,899.13

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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.