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Finding the Fourth Proportional to 568,313.14, 784,270.52 and 313,662.50

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Solution

The fourth proportional to 568,313.14, 784,270.52 and 313,662.50 is: 432,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,313.14 : 784,270.52 = 313,662.50 : x
  2. Step 2: Convert to fraction form
    568,313.14/784,270.52 = 313,662.50/x
  3. Step 3: Cross multiply
    568,313.14x = 784,270.52 × 313,662.50
  4. Step 4: Simplify right side
    568,313.14x = 245,996,251,979.50
  5. Step 5: Solve for x
    x = 245,996,251,979.50/568,313.14
  6. Step 6: Final answer
    x = 432,853.36

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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.