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Finding the Fourth Proportional to 568,451.64, 784,463.40 and 313,803

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Solution

The fourth proportional to 568,451.64, 784,463.40 and 313,803 is: 433,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,451.64 : 784,463.40 = 313,803 : x
  2. Step 2: Convert to fraction form
    568,451.64/784,463.40 = 313,803/x
  3. Step 3: Cross multiply
    568,451.64x = 784,463.40 × 313,803
  4. Step 4: Simplify right side
    568,451.64x = 246,166,968,310.20
  5. Step 5: Solve for x
    x = 246,166,968,310.20/568,451.64
  6. Step 6: Final answer
    x = 433,048.22

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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.