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Finding the Fourth Proportional to 601,462.92, 902,298.60 and 202,142.64

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Solution

The fourth proportional to 601,462.92, 902,298.60 and 202,142.64 is: 303,248.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,462.92 : 902,298.60 = 202,142.64 : x
  2. Step 2: Convert to fraction form
    601,462.92/902,298.60 = 202,142.64/x
  3. Step 3: Cross multiply
    601,462.92x = 902,298.60 × 202,142.64
  4. Step 4: Simplify right side
    601,462.92x = 182,393,021,072.30
  5. Step 5: Solve for x
    x = 182,393,021,072.30/601,462.92
  6. Step 6: Final answer
    x = 303,248.99

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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.