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Finding the Fourth Proportional to 409,580.64, 614,370.42 and 110,061.23

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Solution

The fourth proportional to 409,580.64, 614,370.42 and 110,061.23 is: 165,091.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,580.64 : 614,370.42 = 110,061.23 : x
  2. Step 2: Convert to fraction form
    409,580.64/614,370.42 = 110,061.23/x
  3. Step 3: Cross multiply
    409,580.64x = 614,370.42 × 110,061.23
  4. Step 4: Simplify right side
    409,580.64x = 67,618,361,028.96
  5. Step 5: Solve for x
    x = 67,618,361,028.96/409,580.64
  6. Step 6: Final answer
    x = 165,091.69

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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.