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Finding the Fourth Proportional to 362,214.60, 499,832.46 and 201,069.60

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Solution

The fourth proportional to 362,214.60, 499,832.46 and 201,069.60 is: 277,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,214.60 : 499,832.46 = 201,069.60 : x
  2. Step 2: Convert to fraction form
    362,214.60/499,832.46 = 201,069.60/x
  3. Step 3: Cross multiply
    362,214.60x = 499,832.46 × 201,069.60
  4. Step 4: Simplify right side
    362,214.60x = 100,501,112,799.22
  5. Step 5: Solve for x
    x = 100,501,112,799.22/362,214.60
  6. Step 6: Final answer
    x = 277,462.90

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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.