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Finding the Fourth Proportional to 362,105.64, 499,765.54 and 201,012.28

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Solution

The fourth proportional to 362,105.64, 499,765.54 and 201,012.28 is: 277,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,105.64 : 499,765.54 = 201,012.28 : x
  2. Step 2: Convert to fraction form
    362,105.64/499,765.54 = 201,012.28/x
  3. Step 3: Cross multiply
    362,105.64x = 499,765.54 × 201,012.28
  4. Step 4: Simplify right side
    362,105.64x = 100,459,010,660.83
  5. Step 5: Solve for x
    x = 100,459,010,660.83/362,105.64
  6. Step 6: Final answer
    x = 277,430.12

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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.