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Finding the Fourth Proportional to 288,577.84, 398,229.78 and 161,254.48

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Solution

The fourth proportional to 288,577.84, 398,229.78 and 161,254.48 is: 222,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,577.84 : 398,229.78 = 161,254.48 : x
  2. Step 2: Convert to fraction form
    288,577.84/398,229.78 = 161,254.48/x
  3. Step 3: Cross multiply
    288,577.84x = 398,229.78 × 161,254.48
  4. Step 4: Simplify right side
    288,577.84x = 64,216,336,094.41
  5. Step 5: Solve for x
    x = 64,216,336,094.41/288,577.84
  6. Step 6: Final answer
    x = 222,526.91

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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.