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Finding the Fourth Proportional to 410,744.64, 615,853.26 and 171,024.60

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Solution

The fourth proportional to 410,744.64, 615,853.26 and 171,024.60 is: 256,427.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,744.64 : 615,853.26 = 171,024.60 : x
  2. Step 2: Convert to fraction form
    410,744.64/615,853.26 = 171,024.60/x
  3. Step 3: Cross multiply
    410,744.64x = 615,853.26 × 171,024.60
  4. Step 4: Simplify right side
    410,744.64x = 105,326,057,450.20
  5. Step 5: Solve for x
    x = 105,326,057,450.20/410,744.64
  6. Step 6: Final answer
    x = 256,427.10

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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.