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Finding the Fourth Proportional to 367,398.76, 507,249.38 and 224,241.80

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Solution

The fourth proportional to 367,398.76, 507,249.38 and 224,241.80 is: 309,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,398.76 : 507,249.38 = 224,241.80 : x
  2. Step 2: Convert to fraction form
    367,398.76/507,249.38 = 224,241.80/x
  3. Step 3: Cross multiply
    367,398.76x = 507,249.38 × 224,241.80
  4. Step 4: Simplify right side
    367,398.76x = 113,746,514,020.08
  5. Step 5: Solve for x
    x = 113,746,514,020.08/367,398.76
  6. Step 6: Final answer
    x = 309,599.61

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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.