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Finding the Fourth Proportional to 297,646.14, 410,752.62 and 161,682.18

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Solution

The fourth proportional to 297,646.14, 410,752.62 and 161,682.18 is: 223,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,646.14 : 410,752.62 = 161,682.18 : x
  2. Step 2: Convert to fraction form
    297,646.14/410,752.62 = 161,682.18/x
  3. Step 3: Cross multiply
    297,646.14x = 410,752.62 × 161,682.18
  4. Step 4: Simplify right side
    297,646.14x = 66,411,377,501.99
  5. Step 5: Solve for x
    x = 66,411,377,501.99/297,646.14
  6. Step 6: Final answer
    x = 223,121.91

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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.