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Finding the Fourth Proportional to 568,312.14, 784,269.13 and 313,661.50

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Solution

The fourth proportional to 568,312.14, 784,269.13 and 313,661.50 is: 432,851.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,312.14 : 784,269.13 = 313,661.50 : x
  2. Step 2: Convert to fraction form
    568,312.14/784,269.13 = 313,661.50/x
  3. Step 3: Cross multiply
    568,312.14x = 784,269.13 × 313,661.50
  4. Step 4: Simplify right side
    568,312.14x = 245,995,031,719.50
  5. Step 5: Solve for x
    x = 245,995,031,719.50/568,312.14
  6. Step 6: Final answer
    x = 432,851.97

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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.