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Finding the Fourth Proportional to 568,415.10, 784,411.02 and 313,764.42

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Solution

The fourth proportional to 568,415.10, 784,411.02 and 313,764.42 is: 432,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,415.10 : 784,411.02 = 313,764.42 : x
  2. Step 2: Convert to fraction form
    568,415.10/784,411.02 = 313,764.42/x
  3. Step 3: Cross multiply
    568,415.10x = 784,411.02 × 313,764.42
  4. Step 4: Simplify right side
    568,415.10x = 246,120,268,731.91
  5. Step 5: Solve for x
    x = 246,120,268,731.91/568,415.10
  6. Step 6: Final answer
    x = 432,993.90

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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.