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Finding the Fourth Proportional to 295,338.13, 407,566.62 and 161,202.13

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Solution

The fourth proportional to 295,338.13, 407,566.62 and 161,202.13 is: 222,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,338.13 : 407,566.62 = 161,202.13 : x
  2. Step 2: Convert to fraction form
    295,338.13/407,566.62 = 161,202.13/x
  3. Step 3: Cross multiply
    295,338.13x = 407,566.62 × 161,202.13
  4. Step 4: Simplify right side
    295,338.13x = 65,700,604,417.06
  5. Step 5: Solve for x
    x = 65,700,604,417.06/295,338.13
  6. Step 6: Final answer
    x = 222,458.93

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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.