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Finding the Fourth Proportional to 362,074.14, 499,699.20 and 200,930.28

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Solution

The fourth proportional to 362,074.14, 499,699.20 and 200,930.28 is: 277,304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,074.14 : 499,699.20 = 200,930.28 : x
  2. Step 2: Convert to fraction form
    362,074.14/499,699.20 = 200,930.28/x
  3. Step 3: Cross multiply
    362,074.14x = 499,699.20 × 200,930.28
  4. Step 4: Simplify right side
    362,074.14x = 100,404,700,171.78
  5. Step 5: Solve for x
    x = 100,404,700,171.78/362,074.14
  6. Step 6: Final answer
    x = 277,304.26

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1.5x scale

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.