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Finding the Fourth Proportional to 568,305.14, 784,259.48 and 313,654.50

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Solution

The fourth proportional to 568,305.14, 784,259.48 and 313,654.50 is: 432,842.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,305.14 : 784,259.48 = 313,654.50 : x
  2. Step 2: Convert to fraction form
    568,305.14/784,259.48 = 313,654.50/x
  3. Step 3: Cross multiply
    568,305.14x = 784,259.48 × 313,654.50
  4. Step 4: Simplify right side
    568,305.14x = 245,986,515,853.80
  5. Step 5: Solve for x
    x = 245,986,515,853.80/568,305.14
  6. Step 6: Final answer
    x = 432,842.32

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Why These Related Problems?

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