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Finding the Fourth Proportional to 568,362.82, 784,359.70 and 310,255.08

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Solution

The fourth proportional to 568,362.82, 784,359.70 and 310,255.08 is: 428,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,362.82 : 784,359.70 = 310,255.08 : x
  2. Step 2: Convert to fraction form
    568,362.82/784,359.70 = 310,255.08/x
  3. Step 3: Cross multiply
    568,362.82x = 784,359.70 × 310,255.08
  4. Step 4: Simplify right side
    568,362.82x = 243,351,581,472.28
  5. Step 5: Solve for x
    x = 243,351,581,472.28/568,362.82
  6. Step 6: Final answer
    x = 428,162.39

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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.