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Finding the Fourth Proportional to 295,282.29, 407,502.81 and 166,265.13

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Solution

The fourth proportional to 295,282.29, 407,502.81 and 166,265.13 is: 229,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,282.29 : 407,502.81 = 166,265.13 : x
  2. Step 2: Convert to fraction form
    295,282.29/407,502.81 = 166,265.13/x
  3. Step 3: Cross multiply
    295,282.29x = 407,502.81 × 166,265.13
  4. Step 4: Simplify right side
    295,282.29x = 67,753,507,680.02
  5. Step 5: Solve for x
    x = 67,753,507,680.02/295,282.29
  6. Step 6: Final answer
    x = 229,453.34

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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.