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Finding the Fourth Proportional to 568,658.66, 784,738.44 and 314,004.38

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Solution

The fourth proportional to 568,658.66, 784,738.44 and 314,004.38 is: 433,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,658.66 : 784,738.44 = 314,004.38 : x
  2. Step 2: Convert to fraction form
    568,658.66/784,738.44 = 314,004.38/x
  3. Step 3: Cross multiply
    568,658.66x = 784,738.44 × 314,004.38
  4. Step 4: Simplify right side
    568,658.66x = 246,411,303,390.68
  5. Step 5: Solve for x
    x = 246,411,303,390.68/568,658.66
  6. Step 6: Final answer
    x = 433,320.24

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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.