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Finding the Fourth Proportional to 409,698.57, 614,525.97 and 157,100.07

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Solution

The fourth proportional to 409,698.57, 614,525.97 and 157,100.07 is: 235,641.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,698.57 : 614,525.97 = 157,100.07 : x
  2. Step 2: Convert to fraction form
    409,698.57/614,525.97 = 157,100.07/x
  3. Step 3: Cross multiply
    409,698.57x = 614,525.97 × 157,100.07
  4. Step 4: Simplify right side
    409,698.57x = 96,542,072,903.82
  5. Step 5: Solve for x
    x = 96,542,072,903.82/409,698.57
  6. Step 6: Final answer
    x = 235,641.71

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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.