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Finding the Fourth Proportional to 568,306.44, 784,259.01 and 313,657.65

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Solution

The fourth proportional to 568,306.44, 784,259.01 and 313,657.65 is: 432,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,306.44 : 784,259.01 = 313,657.65 : x
  2. Step 2: Convert to fraction form
    568,306.44/784,259.01 = 313,657.65/x
  3. Step 3: Cross multiply
    568,306.44x = 784,259.01 × 313,657.65
  4. Step 4: Simplify right side
    568,306.44x = 245,988,838,067.93
  5. Step 5: Solve for x
    x = 245,988,838,067.93/568,306.44
  6. Step 6: Final answer
    x = 432,845.42

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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.