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Finding the Fourth Proportional to 463,778.72, 695,634.06 and 148,150.88

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Solution

The fourth proportional to 463,778.72, 695,634.06 and 148,150.88 is: 222,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,778.72 : 695,634.06 = 148,150.88 : x
  2. Step 2: Convert to fraction form
    463,778.72/695,634.06 = 148,150.88/x
  3. Step 3: Cross multiply
    463,778.72x = 695,634.06 × 148,150.88
  4. Step 4: Simplify right side
    463,778.72x = 103,058,795,278.66
  5. Step 5: Solve for x
    x = 103,058,795,278.66/463,778.72
  6. Step 6: Final answer
    x = 222,215.45

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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.