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Finding the Fourth Proportional to 295,278.41, 407,484.10 and 161,142.41

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Solution

The fourth proportional to 295,278.41, 407,484.10 and 161,142.41 is: 222,376.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,278.41 : 407,484.10 = 161,142.41 : x
  2. Step 2: Convert to fraction form
    295,278.41/407,484.10 = 161,142.41/x
  3. Step 3: Cross multiply
    295,278.41x = 407,484.10 × 161,142.41
  4. Step 4: Simplify right side
    295,278.41x = 65,662,971,130.82
  5. Step 5: Solve for x
    x = 65,662,971,130.82/295,278.41
  6. Step 6: Final answer
    x = 222,376.47

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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.