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Finding the Fourth Proportional to 538,807.32, 743,558.94 and 297,098.46

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Solution

The fourth proportional to 538,807.32, 743,558.94 and 297,098.46 is: 409,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,807.32 : 743,558.94 = 297,098.46 : x
  2. Step 2: Convert to fraction form
    538,807.32/743,558.94 = 297,098.46/x
  3. Step 3: Cross multiply
    538,807.32x = 743,558.94 × 297,098.46
  4. Step 4: Simplify right side
    538,807.32x = 220,910,215,993.23
  5. Step 5: Solve for x
    x = 220,910,215,993.23/538,807.32
  6. Step 6: Final answer
    x = 409,998.54

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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.