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Finding the Fourth Proportional to 568,306.64, 784,261.55 and 313,656

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Solution

The fourth proportional to 568,306.64, 784,261.55 and 313,656 is: 432,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,306.64 : 784,261.55 = 313,656 : x
  2. Step 2: Convert to fraction form
    568,306.64/784,261.55 = 313,656/x
  3. Step 3: Cross multiply
    568,306.64x = 784,261.55 × 313,656
  4. Step 4: Simplify right side
    568,306.64x = 245,988,339,158.52
  5. Step 5: Solve for x
    x = 245,988,339,158.52/568,306.64
  6. Step 6: Final answer
    x = 432,844.39

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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.