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Finding the Fourth Proportional to 409,558.20, 614,337.30 and 404,309.40

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Solution

The fourth proportional to 409,558.20, 614,337.30 and 404,309.40 is: 606,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,558.20 : 614,337.30 = 404,309.40 : x
  2. Step 2: Convert to fraction form
    409,558.20/614,337.30 = 404,309.40/x
  3. Step 3: Cross multiply
    409,558.20x = 614,337.30 × 404,309.40
  4. Step 4: Simplify right side
    409,558.20x = 248,382,345,160.62
  5. Step 5: Solve for x
    x = 248,382,345,160.62/409,558.20
  6. Step 6: Final answer
    x = 606,464.10

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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.