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Finding the Fourth Proportional to 568,308.44, 784,264.06 and 313,657.82

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Solution

The fourth proportional to 568,308.44, 784,264.06 and 313,657.82 is: 432,846.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,308.44 : 784,264.06 = 313,657.82 : x
  2. Step 2: Convert to fraction form
    568,308.44/784,264.06 = 313,657.82/x
  3. Step 3: Cross multiply
    568,308.44x = 784,264.06 × 313,657.82
  4. Step 4: Simplify right side
    568,308.44x = 245,990,555,363.95
  5. Step 5: Solve for x
    x = 245,990,555,363.95/568,308.44
  6. Step 6: Final answer
    x = 432,846.92

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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.