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Finding the Fourth Proportional to 288,960, 398,782.48 and 161,644.16

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Solution

The fourth proportional to 288,960, 398,782.48 and 161,644.16 is: 223,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,960 : 398,782.48 = 161,644.16 : x
  2. Step 2: Convert to fraction form
    288,960/398,782.48 = 161,644.16/x
  3. Step 3: Cross multiply
    288,960x = 398,782.48 × 161,644.16
  4. Step 4: Simplify right side
    288,960x = 64,460,859,002.32
  5. Step 5: Solve for x
    x = 64,460,859,002.32/288,960
  6. Step 6: Final answer
    x = 223,078.83

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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.