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Finding the Fourth Proportional to 413,568.96, 620,351.16 and 161,025.13

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Solution

The fourth proportional to 413,568.96, 620,351.16 and 161,025.13 is: 241,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,568.96 : 620,351.16 = 161,025.13 : x
  2. Step 2: Convert to fraction form
    413,568.96/620,351.16 = 161,025.13/x
  3. Step 3: Cross multiply
    413,568.96x = 620,351.16 × 161,025.13
  4. Step 4: Simplify right side
    413,568.96x = 99,892,126,184.65
  5. Step 5: Solve for x
    x = 99,892,126,184.65/413,568.96
  6. Step 6: Final answer
    x = 241,536.81

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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.