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Finding the Fourth Proportional to 361,802.72, 499,304.42 and 200,648.16

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Solution

The fourth proportional to 361,802.72, 499,304.42 and 200,648.16 is: 276,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,802.72 : 499,304.42 = 200,648.16 : x
  2. Step 2: Convert to fraction form
    361,802.72/499,304.42 = 200,648.16/x
  3. Step 3: Cross multiply
    361,802.72x = 499,304.42 × 200,648.16
  4. Step 4: Simplify right side
    361,802.72x = 100,184,512,149.63
  5. Step 5: Solve for x
    x = 100,184,512,149.63/361,802.72
  6. Step 6: Final answer
    x = 276,903.70

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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.