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Finding the Fourth Proportional to 409,644.56, 614,570.52 and 172,865.36

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Solution

The fourth proportional to 409,644.56, 614,570.52 and 172,865.36 is: 259,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,644.56 : 614,570.52 = 172,865.36 : x
  2. Step 2: Convert to fraction form
    409,644.56/614,570.52 = 172,865.36/x
  3. Step 3: Cross multiply
    409,644.56x = 614,570.52 × 172,865.36
  4. Step 4: Simplify right side
    409,644.56x = 106,237,954,185.19
  5. Step 5: Solve for x
    x = 106,237,954,185.19/409,644.56
  6. Step 6: Final answer
    x = 259,341.79

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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.