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Finding the Fourth Proportional to 288,636.81, 398,319.38 and 161,312.40

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Solution

The fourth proportional to 288,636.81, 398,319.38 and 161,312.40 is: 222,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,636.81 : 398,319.38 = 161,312.40 : x
  2. Step 2: Convert to fraction form
    288,636.81/398,319.38 = 161,312.40/x
  3. Step 3: Cross multiply
    288,636.81x = 398,319.38 × 161,312.40
  4. Step 4: Simplify right side
    288,636.81x = 64,253,854,347.75
  5. Step 5: Solve for x
    x = 64,253,854,347.75/288,636.81
  6. Step 6: Final answer
    x = 222,611.43

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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.