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Finding the Fourth Proportional to 410,570.07, 615,872.11 and 140,883.60

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Solution

The fourth proportional to 410,570.07, 615,872.11 and 140,883.60 is: 211,331.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,570.07 : 615,872.11 = 140,883.60 : x
  2. Step 2: Convert to fraction form
    410,570.07/615,872.11 = 140,883.60/x
  3. Step 3: Cross multiply
    410,570.07x = 615,872.11 × 140,883.60
  4. Step 4: Simplify right side
    410,570.07x = 86,766,279,996.40
  5. Step 5: Solve for x
    x = 86,766,279,996.40/410,570.07
  6. Step 6: Final answer
    x = 211,331.24

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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.