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Finding the Fourth Proportional to 299,383.56, 448,981.80 and 99,657.24

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Solution

The fourth proportional to 299,383.56, 448,981.80 and 99,657.24 is: 149,454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,383.56 : 448,981.80 = 99,657.24 : x
  2. Step 2: Convert to fraction form
    299,383.56/448,981.80 = 99,657.24/x
  3. Step 3: Cross multiply
    299,383.56x = 448,981.80 × 99,657.24
  4. Step 4: Simplify right side
    299,383.56x = 44,744,286,998.23
  5. Step 5: Solve for x
    x = 44,744,286,998.23/299,383.56
  6. Step 6: Final answer
    x = 149,454.72

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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.