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Finding the Fourth Proportional to 538,785.83, 743,523.80 and 297,072.20

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Solution

The fourth proportional to 538,785.83, 743,523.80 and 297,072.20 is: 409,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,785.83 : 743,523.80 = 297,072.20 : x
  2. Step 2: Convert to fraction form
    538,785.83/743,523.80 = 297,072.20/x
  3. Step 3: Cross multiply
    538,785.83x = 743,523.80 × 297,072.20
  4. Step 4: Simplify right side
    538,785.83x = 220,880,245,815.38
  5. Step 5: Solve for x
    x = 220,880,245,815.38/538,785.83
  6. Step 6: Final answer
    x = 409,959.27

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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.