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Finding the Fourth Proportional to 362,844.60, 500,722.86 and 201,714.36

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Solution

The fourth proportional to 362,844.60, 500,722.86 and 201,714.36 is: 278,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,844.60 : 500,722.86 = 201,714.36 : x
  2. Step 2: Convert to fraction form
    362,844.60/500,722.86 = 201,714.36/x
  3. Step 3: Cross multiply
    362,844.60x = 500,722.86 × 201,714.36
  4. Step 4: Simplify right side
    362,844.60x = 101,002,991,242.27
  5. Step 5: Solve for x
    x = 101,002,991,242.27/362,844.60
  6. Step 6: Final answer
    x = 278,364.32

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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.