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Finding the Fourth Proportional to 412,066.36, 616,992.13 and 261,491.41

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Solution

The fourth proportional to 412,066.36, 616,992.13 and 261,491.41 is: 391,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,066.36 : 616,992.13 = 261,491.41 : x
  2. Step 2: Convert to fraction form
    412,066.36/616,992.13 = 261,491.41/x
  3. Step 3: Cross multiply
    412,066.36x = 616,992.13 × 261,491.41
  4. Step 4: Simplify right side
    412,066.36x = 161,338,142,032.60
  5. Step 5: Solve for x
    x = 161,338,142,032.60/412,066.36
  6. Step 6: Final answer
    x = 391,534.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.