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Finding the Fourth Proportional to 410,219.54, 615,394.38 and 173,564

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Solution

The fourth proportional to 410,219.54, 615,394.38 and 173,564 is: 260,373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,219.54 : 615,394.38 = 173,564 : x
  2. Step 2: Convert to fraction form
    410,219.54/615,394.38 = 173,564/x
  3. Step 3: Cross multiply
    410,219.54x = 615,394.38 × 173,564
  4. Step 4: Simplify right side
    410,219.54x = 106,810,310,170.32
  5. Step 5: Solve for x
    x = 106,810,310,170.32/410,219.54
  6. Step 6: Final answer
    x = 260,373.53

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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.