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Finding the Fourth Proportional to 298,921.68, 448,514.58 and 156,732.96

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Solution

The fourth proportional to 298,921.68, 448,514.58 and 156,732.96 is: 235,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,921.68 : 448,514.58 = 156,732.96 : x
  2. Step 2: Convert to fraction form
    298,921.68/448,514.58 = 156,732.96/x
  3. Step 3: Cross multiply
    298,921.68x = 448,514.58 × 156,732.96
  4. Step 4: Simplify right side
    298,921.68x = 70,297,017,726.56
  5. Step 5: Solve for x
    x = 70,297,017,726.56/298,921.68
  6. Step 6: Final answer
    x = 235,168.68

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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.