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Finding the Fourth Proportional to 568,464.88, 784,484.04 and 313,818.16

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Solution

The fourth proportional to 568,464.88, 784,484.04 and 313,818.16 is: 433,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,464.88 : 784,484.04 = 313,818.16 : x
  2. Step 2: Convert to fraction form
    568,464.88/784,484.04 = 313,818.16/x
  3. Step 3: Cross multiply
    568,464.88x = 784,484.04 × 313,818.16
  4. Step 4: Simplify right side
    568,464.88x = 246,185,337,982.17
  5. Step 5: Solve for x
    x = 246,185,337,982.17/568,464.88
  6. Step 6: Final answer
    x = 433,070.44

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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.