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Finding the Fourth Proportional to 432,960.90, 649,441.35 and 415,246.20

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Solution

The fourth proportional to 432,960.90, 649,441.35 and 415,246.20 is: 622,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,960.90 : 649,441.35 = 415,246.20 : x
  2. Step 2: Convert to fraction form
    432,960.90/649,441.35 = 415,246.20/x
  3. Step 3: Cross multiply
    432,960.90x = 649,441.35 × 415,246.20
  4. Step 4: Simplify right side
    432,960.90x = 269,678,052,710.37
  5. Step 5: Solve for x
    x = 269,678,052,710.37/432,960.90
  6. Step 6: Final answer
    x = 622,869.30

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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.