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Finding the Fourth Proportional to 402,991.22, 604,356.24 and 133,058.72

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Solution

The fourth proportional to 402,991.22, 604,356.24 and 133,058.72 is: 199,544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,991.22 : 604,356.24 = 133,058.72 : x
  2. Step 2: Convert to fraction form
    402,991.22/604,356.24 = 133,058.72/x
  3. Step 3: Cross multiply
    402,991.22x = 604,356.24 × 133,058.72
  4. Step 4: Simplify right side
    402,991.22x = 80,414,867,718.41
  5. Step 5: Solve for x
    x = 80,414,867,718.41/402,991.22
  6. Step 6: Final answer
    x = 199,544.96

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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.