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Finding the Fourth Proportional to 413,275.92, 619,832.26 and 113,679.19

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Solution

The fourth proportional to 413,275.92, 619,832.26 and 113,679.19 is: 170,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,275.92 : 619,832.26 = 113,679.19 : x
  2. Step 2: Convert to fraction form
    413,275.92/619,832.26 = 113,679.19/x
  3. Step 3: Cross multiply
    413,275.92x = 619,832.26 × 113,679.19
  4. Step 4: Simplify right side
    413,275.92x = 70,462,030,169.56
  5. Step 5: Solve for x
    x = 70,462,030,169.56/413,275.92
  6. Step 6: Final answer
    x = 170,496.34

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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.