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Finding the Fourth Proportional to 335,084.40, 503,015.40 and 202,114.80

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Solution

The fourth proportional to 335,084.40, 503,015.40 and 202,114.80 is: 303,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,084.40 : 503,015.40 = 202,114.80 : x
  2. Step 2: Convert to fraction form
    335,084.40/503,015.40 = 202,114.80/x
  3. Step 3: Cross multiply
    335,084.40x = 503,015.40 × 202,114.80
  4. Step 4: Simplify right side
    335,084.40x = 101,666,856,967.92
  5. Step 5: Solve for x
    x = 101,666,856,967.92/335,084.40
  6. Step 6: Final answer
    x = 303,406.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.