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Finding the Fourth Proportional to 295,278.73, 407,484.53 and 161,142.73

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Solution

The fourth proportional to 295,278.73, 407,484.53 and 161,142.73 is: 222,376.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,278.73 : 407,484.53 = 161,142.73 : x
  2. Step 2: Convert to fraction form
    295,278.73/407,484.53 = 161,142.73/x
  3. Step 3: Cross multiply
    295,278.73x = 407,484.53 × 161,142.73
  4. Step 4: Simplify right side
    295,278.73x = 65,663,169,596.97
  5. Step 5: Solve for x
    x = 65,663,169,596.97/295,278.73
  6. Step 6: Final answer
    x = 222,376.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.