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Finding the Fourth Proportional to 522,896.44, 721,597.10 and 296,541.94

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Solution

The fourth proportional to 522,896.44, 721,597.10 and 296,541.94 is: 409,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,896.44 : 721,597.10 = 296,541.94 : x
  2. Step 2: Convert to fraction form
    522,896.44/721,597.10 = 296,541.94/x
  3. Step 3: Cross multiply
    522,896.44x = 721,597.10 × 296,541.94
  4. Step 4: Simplify right side
    522,896.44x = 213,983,803,932.37
  5. Step 5: Solve for x
    x = 213,983,803,932.37/522,896.44
  6. Step 6: Final answer
    x = 409,227.88

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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.