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Finding the Fourth Proportional to 568,545.28, 784,587.64 and 313,891

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Solution

The fourth proportional to 568,545.28, 784,587.64 and 313,891 is: 433,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,545.28 : 784,587.64 = 313,891 : x
  2. Step 2: Convert to fraction form
    568,545.28/784,587.64 = 313,891/x
  3. Step 3: Cross multiply
    568,545.28x = 784,587.64 × 313,891
  4. Step 4: Simplify right side
    568,545.28x = 246,274,998,907.24
  5. Step 5: Solve for x
    x = 246,274,998,907.24/568,545.28
  6. Step 6: Final answer
    x = 433,166.90

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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.