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Finding the Fourth Proportional to 568,266.52, 784,184.88 and 313,614.40

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Solution

The fourth proportional to 568,266.52, 784,184.88 and 313,614.40 is: 432,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,266.52 : 784,184.88 = 313,614.40 : x
  2. Step 2: Convert to fraction form
    568,266.52/784,184.88 = 313,614.40/x
  3. Step 3: Cross multiply
    568,266.52x = 784,184.88 × 313,614.40
  4. Step 4: Simplify right side
    568,266.52x = 245,931,670,630.27
  5. Step 5: Solve for x
    x = 245,931,670,630.27/568,266.52
  6. Step 6: Final answer
    x = 432,775.22

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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.