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Finding the Fourth Proportional to 367,142.34, 506,629.86 and 203,807.70

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Solution

The fourth proportional to 367,142.34, 506,629.86 and 203,807.70 is: 281,239.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,142.34 : 506,629.86 = 203,807.70 : x
  2. Step 2: Convert to fraction form
    367,142.34/506,629.86 = 203,807.70/x
  3. Step 3: Cross multiply
    367,142.34x = 506,629.86 × 203,807.70
  4. Step 4: Simplify right side
    367,142.34x = 103,255,066,517.92
  5. Step 5: Solve for x
    x = 103,255,066,517.92/367,142.34
  6. Step 6: Final answer
    x = 281,239.88

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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.