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Finding the Fourth Proportional to 568,571.56, 784,641 and 313,938.88

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Solution

The fourth proportional to 568,571.56, 784,641 and 313,938.88 is: 433,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,571.56 : 784,641 = 313,938.88 : x
  2. Step 2: Convert to fraction form
    568,571.56/784,641 = 313,938.88/x
  3. Step 3: Cross multiply
    568,571.56x = 784,641 × 313,938.88
  4. Step 4: Simplify right side
    568,571.56x = 246,329,316,742.08
  5. Step 5: Solve for x
    x = 246,329,316,742.08/568,571.56
  6. Step 6: Final answer
    x = 433,242.42

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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.