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Finding the Fourth Proportional to 362,104.64, 499,764.16 and 201,011.28

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Solution

The fourth proportional to 362,104.64, 499,764.16 and 201,011.28 is: 277,428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,104.64 : 499,764.16 = 201,011.28 : x
  2. Step 2: Convert to fraction form
    362,104.64/499,764.16 = 201,011.28/x
  3. Step 3: Cross multiply
    362,104.64x = 499,764.16 × 201,011.28
  4. Step 4: Simplify right side
    362,104.64x = 100,458,233,499.73
  5. Step 5: Solve for x
    x = 100,458,233,499.73/362,104.64
  6. Step 6: Final answer
    x = 277,428.74

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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.