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Finding the Fourth Proportional to 568,642.05, 784,086.26 and 464,952.74

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Solution

The fourth proportional to 568,642.05, 784,086.26 and 464,952.74 is: 641,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,642.05 : 784,086.26 = 464,952.74 : x
  2. Step 2: Convert to fraction form
    568,642.05/784,086.26 = 464,952.74/x
  3. Step 3: Cross multiply
    568,642.05x = 784,086.26 × 464,952.74
  4. Step 4: Simplify right side
    568,642.05x = 364,563,048,738.16
  5. Step 5: Solve for x
    x = 364,563,048,738.16/568,642.05
  6. Step 6: Final answer
    x = 641,111.66

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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.