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Finding the Fourth Proportional to 601,781.94, 902,665.62 and 146,375.64

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Solution

The fourth proportional to 601,781.94, 902,665.62 and 146,375.64 is: 219,561.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,781.94 : 902,665.62 = 146,375.64 : x
  2. Step 2: Convert to fraction form
    601,781.94/902,665.62 = 146,375.64/x
  3. Step 3: Cross multiply
    601,781.94x = 902,665.62 × 146,375.64
  4. Step 4: Simplify right side
    601,781.94x = 132,128,257,833.50
  5. Step 5: Solve for x
    x = 132,128,257,833.50/601,781.94
  6. Step 6: Final answer
    x = 219,561.69

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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.