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Finding the Fourth Proportional to 288,881.54, 398,655.16 and 161,557.64

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Solution

The fourth proportional to 288,881.54, 398,655.16 and 161,557.64 is: 222,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,881.54 : 398,655.16 = 161,557.64 : x
  2. Step 2: Convert to fraction form
    288,881.54/398,655.16 = 161,557.64/x
  3. Step 3: Cross multiply
    288,881.54x = 398,655.16 × 161,557.64
  4. Step 4: Simplify right side
    288,881.54x = 64,405,786,823.42
  5. Step 5: Solve for x
    x = 64,405,786,823.42/288,881.54
  6. Step 6: Final answer
    x = 222,948.78

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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.