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Finding the Fourth Proportional to 410,934.20, 617,438.10 and 261,246.20

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Solution

The fourth proportional to 410,934.20, 617,438.10 and 261,246.20 is: 392,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,934.20 : 617,438.10 = 261,246.20 : x
  2. Step 2: Convert to fraction form
    410,934.20/617,438.10 = 261,246.20/x
  3. Step 3: Cross multiply
    410,934.20x = 617,438.10 × 261,246.20
  4. Step 4: Simplify right side
    410,934.20x = 161,303,357,360.22
  5. Step 5: Solve for x
    x = 161,303,357,360.22/410,934.20
  6. Step 6: Final answer
    x = 392,528.43

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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.