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Finding the Fourth Proportional to 463,778.67, 695,633.99 and 148,150.83

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Solution

The fourth proportional to 463,778.67, 695,633.99 and 148,150.83 is: 222,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,778.67 : 695,633.99 = 148,150.83 : x
  2. Step 2: Convert to fraction form
    463,778.67/695,633.99 = 148,150.83/x
  3. Step 3: Cross multiply
    463,778.67x = 695,633.99 × 148,150.83
  4. Step 4: Simplify right side
    463,778.67x = 103,058,752,253.96
  5. Step 5: Solve for x
    x = 103,058,752,253.96/463,778.67
  6. Step 6: Final answer
    x = 222,215.38

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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.