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Finding the Fourth Proportional to 654,202.42, 902,841.64 and 378,615.80

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Solution

The fourth proportional to 654,202.42, 902,841.64 and 378,615.80 is: 522,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,202.42 : 902,841.64 = 378,615.80 : x
  2. Step 2: Convert to fraction form
    654,202.42/902,841.64 = 378,615.80/x
  3. Step 3: Cross multiply
    654,202.42x = 902,841.64 × 378,615.80
  4. Step 4: Simplify right side
    654,202.42x = 341,830,111,112.48
  5. Step 5: Solve for x
    x = 341,830,111,112.48/654,202.42
  6. Step 6: Final answer
    x = 522,514.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.