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Finding the Fourth Proportional to 410,724.22, 615,227.73 and 330,327.67

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Solution

The fourth proportional to 410,724.22, 615,227.73 and 330,327.67 is: 494,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,724.22 : 615,227.73 = 330,327.67 : x
  2. Step 2: Convert to fraction form
    410,724.22/615,227.73 = 330,327.67/x
  3. Step 3: Cross multiply
    410,724.22x = 615,227.73 × 330,327.67
  4. Step 4: Simplify right side
    410,724.22x = 203,226,742,570.29
  5. Step 5: Solve for x
    x = 203,226,742,570.29/410,724.22
  6. Step 6: Final answer
    x = 494,800.97

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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.