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Finding the Fourth Proportional to 381,662.40, 572,493.60 and 224,068.80

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Solution

The fourth proportional to 381,662.40, 572,493.60 and 224,068.80 is: 336,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,662.40 : 572,493.60 = 224,068.80 : x
  2. Step 2: Convert to fraction form
    381,662.40/572,493.60 = 224,068.80/x
  3. Step 3: Cross multiply
    381,662.40x = 572,493.60 × 224,068.80
  4. Step 4: Simplify right side
    381,662.40x = 128,277,953,959.68
  5. Step 5: Solve for x
    x = 128,277,953,959.68/381,662.40
  6. Step 6: Final answer
    x = 336,103.20

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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.