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Finding the Fourth Proportional to 538,901.95, 743,689.88 and 297,193.09

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Solution

The fourth proportional to 538,901.95, 743,689.88 and 297,193.09 is: 410,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,901.95 : 743,689.88 = 297,193.09 : x
  2. Step 2: Convert to fraction form
    538,901.95/743,689.88 = 297,193.09/x
  3. Step 3: Cross multiply
    538,901.95x = 743,689.88 × 297,193.09
  4. Step 4: Simplify right side
    538,901.95x = 221,019,491,952.96
  5. Step 5: Solve for x
    x = 221,019,491,952.96/538,901.95
  6. Step 6: Final answer
    x = 410,129.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.