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Finding the Fourth Proportional to 715,077.72, 986,700.30 and 409,105.50

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Solution

The fourth proportional to 715,077.72, 986,700.30 and 409,105.50 is: 564,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,077.72 : 986,700.30 = 409,105.50 : x
  2. Step 2: Convert to fraction form
    715,077.72/986,700.30 = 409,105.50/x
  3. Step 3: Cross multiply
    715,077.72x = 986,700.30 × 409,105.50
  4. Step 4: Simplify right side
    715,077.72x = 403,664,519,581.65
  5. Step 5: Solve for x
    x = 403,664,519,581.65/715,077.72
  6. Step 6: Final answer
    x = 564,504.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.