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Finding the Fourth Proportional to 601,504.38, 902,300.94 and 202,142.34

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Solution

The fourth proportional to 601,504.38, 902,300.94 and 202,142.34 is: 303,228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,504.38 : 902,300.94 = 202,142.34 : x
  2. Step 2: Convert to fraction form
    601,504.38/902,300.94 = 202,142.34/x
  3. Step 3: Cross multiply
    601,504.38x = 902,300.94 × 202,142.34
  4. Step 4: Simplify right side
    601,504.38x = 182,393,223,395.80
  5. Step 5: Solve for x
    x = 182,393,223,395.80/601,504.38
  6. Step 6: Final answer
    x = 303,228.42

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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.