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Finding the Fourth Proportional to 568,577.25, 784,642.47 and 313,927.83

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Solution

The fourth proportional to 568,577.25, 784,642.47 and 313,927.83 is: 433,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,577.25 : 784,642.47 = 313,927.83 : x
  2. Step 2: Convert to fraction form
    568,577.25/784,642.47 = 313,927.83/x
  3. Step 3: Cross multiply
    568,577.25x = 784,642.47 × 313,927.83
  4. Step 4: Simplify right side
    568,577.25x = 246,321,102,440.09
  5. Step 5: Solve for x
    x = 246,321,102,440.09/568,577.25
  6. Step 6: Final answer
    x = 433,223.64

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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.