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Finding the Fourth Proportional to 298,196.68, 447,298.68 and 165,336.52

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Solution

The fourth proportional to 298,196.68, 447,298.68 and 165,336.52 is: 248,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,196.68 : 447,298.68 = 165,336.52 : x
  2. Step 2: Convert to fraction form
    298,196.68/447,298.68 = 165,336.52/x
  3. Step 3: Cross multiply
    298,196.68x = 447,298.68 × 165,336.52
  4. Step 4: Simplify right side
    298,196.68x = 73,954,807,151.79
  5. Step 5: Solve for x
    x = 73,954,807,151.79/298,196.68
  6. Step 6: Final answer
    x = 248,006.81

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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.