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Finding the Fourth Proportional to 444,658.47, 613,214.16 and 411,632.02

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Solution

The fourth proportional to 444,658.47, 613,214.16 and 411,632.02 is: 567,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,658.47 : 613,214.16 = 411,632.02 : x
  2. Step 2: Convert to fraction form
    444,658.47/613,214.16 = 411,632.02/x
  3. Step 3: Cross multiply
    444,658.47x = 613,214.16 × 411,632.02
  4. Step 4: Simplify right side
    444,658.47x = 252,418,584,917.02
  5. Step 5: Solve for x
    x = 252,418,584,917.02/444,658.47
  6. Step 6: Final answer
    x = 567,668.46

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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.