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Finding the Fourth Proportional to 695,964.25, 960,414.33 and 409,502.89

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Solution

The fourth proportional to 695,964.25, 960,414.33 and 409,502.89 is: 565,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,964.25 : 960,414.33 = 409,502.89 : x
  2. Step 2: Convert to fraction form
    695,964.25/960,414.33 = 409,502.89/x
  3. Step 3: Cross multiply
    695,964.25x = 960,414.33 × 409,502.89
  4. Step 4: Simplify right side
    695,964.25x = 393,292,443,732.41
  5. Step 5: Solve for x
    x = 393,292,443,732.41/695,964.25
  6. Step 6: Final answer
    x = 565,104.38

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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.