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Finding the Fourth Proportional to 409,955.23, 614,951.61 and 125,625.25

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Solution

The fourth proportional to 409,955.23, 614,951.61 and 125,625.25 is: 188,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,955.23 : 614,951.61 = 125,625.25 : x
  2. Step 2: Convert to fraction form
    409,955.23/614,951.61 = 125,625.25/x
  3. Step 3: Cross multiply
    409,955.23x = 614,951.61 × 125,625.25
  4. Step 4: Simplify right side
    409,955.23x = 77,253,449,744.15
  5. Step 5: Solve for x
    x = 77,253,449,744.15/409,955.23
  6. Step 6: Final answer
    x = 188,443.63

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1.5x scale

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.