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Finding the Fourth Proportional to 312,700.10, 431,674.92 and 209,511.99

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Solution

The fourth proportional to 312,700.10, 431,674.92 and 209,511.99 is: 289,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,700.10 : 431,674.92 = 209,511.99 : x
  2. Step 2: Convert to fraction form
    312,700.10/431,674.92 = 209,511.99/x
  3. Step 3: Cross multiply
    312,700.10x = 431,674.92 × 209,511.99
  4. Step 4: Simplify right side
    312,700.10x = 90,441,071,522.29
  5. Step 5: Solve for x
    x = 90,441,071,522.29/312,700.10
  6. Step 6: Final answer
    x = 289,226.24

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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.