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Finding the Fourth Proportional to 298,695.60, 448,561.80 and 158,727.60

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Solution

The fourth proportional to 298,695.60, 448,561.80 and 158,727.60 is: 238,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,695.60 : 448,561.80 = 158,727.60 : x
  2. Step 2: Convert to fraction form
    298,695.60/448,561.80 = 158,727.60/x
  3. Step 3: Cross multiply
    298,695.60x = 448,561.80 × 158,727.60
  4. Step 4: Simplify right side
    298,695.60x = 71,199,137,965.68
  5. Step 5: Solve for x
    x = 71,199,137,965.68/298,695.60
  6. Step 6: Final answer
    x = 238,366.88

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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.