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Finding the Fourth Proportional to 410,824.10, 615,842.49 and 173,840.78

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Solution

The fourth proportional to 410,824.10, 615,842.49 and 173,840.78 is: 260,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,824.10 : 615,842.49 = 173,840.78 : x
  2. Step 2: Convert to fraction form
    410,824.10/615,842.49 = 173,840.78/x
  3. Step 3: Cross multiply
    410,824.10x = 615,842.49 × 173,840.78
  4. Step 4: Simplify right side
    410,824.10x = 107,058,538,818.74
  5. Step 5: Solve for x
    x = 107,058,538,818.74/410,824.10
  6. Step 6: Final answer
    x = 260,594.59

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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.