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Finding the Fourth Proportional to 410,213.54, 615,385.38 and 173,558

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Solution

The fourth proportional to 410,213.54, 615,385.38 and 173,558 is: 260,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,213.54 : 615,385.38 = 173,558 : x
  2. Step 2: Convert to fraction form
    410,213.54/615,385.38 = 173,558/x
  3. Step 3: Cross multiply
    410,213.54x = 615,385.38 × 173,558
  4. Step 4: Simplify right side
    410,213.54x = 106,805,055,782.04
  5. Step 5: Solve for x
    x = 106,805,055,782.04/410,213.54
  6. Step 6: Final answer
    x = 260,364.53

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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.