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Finding the Fourth Proportional to 297,261.84, 410,194.08 and 176,382.24

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Solution

The fourth proportional to 297,261.84, 410,194.08 and 176,382.24 is: 243,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,261.84 : 410,194.08 = 176,382.24 : x
  2. Step 2: Convert to fraction form
    297,261.84/410,194.08 = 176,382.24/x
  3. Step 3: Cross multiply
    297,261.84x = 410,194.08 × 176,382.24
  4. Step 4: Simplify right side
    297,261.84x = 72,350,950,665.14
  5. Step 5: Solve for x
    x = 72,350,950,665.14/297,261.84
  6. Step 6: Final answer
    x = 243,391.32

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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.