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Finding the Fourth Proportional to 381,669.90, 572,504.85 and 224,076.30

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Solution

The fourth proportional to 381,669.90, 572,504.85 and 224,076.30 is: 336,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,669.90 : 572,504.85 = 224,076.30 : x
  2. Step 2: Convert to fraction form
    381,669.90/572,504.85 = 224,076.30/x
  3. Step 3: Cross multiply
    381,669.90x = 572,504.85 × 224,076.30
  4. Step 4: Simplify right side
    381,669.90x = 128,284,768,520.06
  5. Step 5: Solve for x
    x = 128,284,768,520.06/381,669.90
  6. Step 6: Final answer
    x = 336,114.45

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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.