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Finding the Fourth Proportional to 410,217.56, 615,391.40 and 173,562

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Solution

The fourth proportional to 410,217.56, 615,391.40 and 173,562 is: 260,370.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,217.56 : 615,391.40 = 173,562 : x
  2. Step 2: Convert to fraction form
    410,217.56/615,391.40 = 173,562/x
  3. Step 3: Cross multiply
    410,217.56x = 615,391.40 × 173,562
  4. Step 4: Simplify right side
    410,217.56x = 106,808,562,166.80
  5. Step 5: Solve for x
    x = 106,808,562,166.80/410,217.56
  6. Step 6: Final answer
    x = 260,370.53

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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.