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Finding the Fourth Proportional to 410,635.98, 615,847.05 and 173,856.78

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Solution

The fourth proportional to 410,635.98, 615,847.05 and 173,856.78 is: 260,739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,635.98 : 615,847.05 = 173,856.78 : x
  2. Step 2: Convert to fraction form
    410,635.98/615,847.05 = 173,856.78/x
  3. Step 3: Cross multiply
    410,635.98x = 615,847.05 × 173,856.78
  4. Step 4: Simplify right side
    410,635.98x = 107,069,185,085.50
  5. Step 5: Solve for x
    x = 107,069,185,085.50/410,635.98
  6. Step 6: Final answer
    x = 260,739.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.