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Finding the Fourth Proportional to 601,369.92, 902,159.10 and 202,049.64

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Solution

The fourth proportional to 601,369.92, 902,159.10 and 202,049.64 is: 303,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,369.92 : 902,159.10 = 202,049.64 : x
  2. Step 2: Convert to fraction form
    601,369.92/902,159.10 = 202,049.64/x
  3. Step 3: Cross multiply
    601,369.92x = 902,159.10 × 202,049.64
  4. Step 4: Simplify right side
    601,369.92x = 182,280,921,377.72
  5. Step 5: Solve for x
    x = 182,280,921,377.72/601,369.92
  6. Step 6: Final answer
    x = 303,109.48

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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.