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Finding the Fourth Proportional to 367,819.84, 507,638.28 and 224,549.20

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Solution

The fourth proportional to 367,819.84, 507,638.28 and 224,549.20 is: 309,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,819.84 : 507,638.28 = 224,549.20 : x
  2. Step 2: Convert to fraction form
    367,819.84/507,638.28 = 224,549.20/x
  3. Step 3: Cross multiply
    367,819.84x = 507,638.28 × 224,549.20
  4. Step 4: Simplify right side
    367,819.84x = 113,989,769,663.38
  5. Step 5: Solve for x
    x = 113,989,769,663.38/367,819.84
  6. Step 6: Final answer
    x = 309,906.53

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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.