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Finding the Fourth Proportional to 303,713.12, 419,124.88 and 169,581.92

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Solution

The fourth proportional to 303,713.12, 419,124.88 and 169,581.92 is: 234,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,713.12 : 419,124.88 = 169,581.92 : x
  2. Step 2: Convert to fraction form
    303,713.12/419,124.88 = 169,581.92/x
  3. Step 3: Cross multiply
    303,713.12x = 419,124.88 × 169,581.92
  4. Step 4: Simplify right side
    303,713.12x = 71,076,001,870.17
  5. Step 5: Solve for x
    x = 71,076,001,870.17/303,713.12
  6. Step 6: Final answer
    x = 234,023.48

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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.