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Finding the Fourth Proportional to 512,449.18, 707,266.40 and 297,713.80

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Solution

The fourth proportional to 512,449.18, 707,266.40 and 297,713.80 is: 410,895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,449.18 : 707,266.40 = 297,713.80 : x
  2. Step 2: Convert to fraction form
    512,449.18/707,266.40 = 297,713.80/x
  3. Step 3: Cross multiply
    512,449.18x = 707,266.40 × 297,713.80
  4. Step 4: Simplify right side
    512,449.18x = 210,562,971,243.65
  5. Step 5: Solve for x
    x = 210,562,971,243.65/512,449.18
  6. Step 6: Final answer
    x = 410,895.32

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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.