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Finding the Fourth Proportional to 568,410.44, 784,412.90 and 313,761.76

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Solution

The fourth proportional to 568,410.44, 784,412.90 and 313,761.76 is: 432,994.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,410.44 : 784,412.90 = 313,761.76 : x
  2. Step 2: Convert to fraction form
    568,410.44/784,412.90 = 313,761.76/x
  3. Step 3: Cross multiply
    568,410.44x = 784,412.90 × 313,761.76
  4. Step 4: Simplify right side
    568,410.44x = 246,118,772,070.70
  5. Step 5: Solve for x
    x = 246,118,772,070.70/568,410.44
  6. Step 6: Final answer
    x = 432,994.81

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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.