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Finding the Fourth Proportional to 568,595.50, 784,641.23 and 313,941.22

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Solution

The fourth proportional to 568,595.50, 784,641.23 and 313,941.22 is: 433,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,595.50 : 784,641.23 = 313,941.22 : x
  2. Step 2: Convert to fraction form
    568,595.50/784,641.23 = 313,941.22/x
  3. Step 3: Cross multiply
    568,595.50x = 784,641.23 × 313,941.22
  4. Step 4: Simplify right side
    568,595.50x = 246,331,222,654.47
  5. Step 5: Solve for x
    x = 246,331,222,654.47/568,595.50
  6. Step 6: Final answer
    x = 433,227.53

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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.