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Finding the Fourth Proportional to 295,341.14, 407,570.76 and 161,205.14

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Solution

The fourth proportional to 295,341.14, 407,570.76 and 161,205.14 is: 222,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,341.14 : 407,570.76 = 161,205.14 : x
  2. Step 2: Convert to fraction form
    295,341.14/407,570.76 = 161,205.14/x
  3. Step 3: Cross multiply
    295,341.14x = 407,570.76 × 161,205.14
  4. Step 4: Simplify right side
    295,341.14x = 65,702,501,425.71
  5. Step 5: Solve for x
    x = 65,702,501,425.71/295,341.14
  6. Step 6: Final answer
    x = 222,463.09

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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.