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Finding the Fourth Proportional to 568,654.24, 784,721.04 and 313,999.36

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Solution

The fourth proportional to 568,654.24, 784,721.04 and 313,999.36 is: 433,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,654.24 : 784,721.04 = 313,999.36 : x
  2. Step 2: Convert to fraction form
    568,654.24/784,721.04 = 313,999.36/x
  3. Step 3: Cross multiply
    568,654.24x = 784,721.04 × 313,999.36
  4. Step 4: Simplify right side
    568,654.24x = 246,401,904,338.53
  5. Step 5: Solve for x
    x = 246,401,904,338.53/568,654.24
  6. Step 6: Final answer
    x = 433,307.07

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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.