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Finding the Fourth Proportional to 474,092.01, 654,193.40 and 280,505.66

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Solution

The fourth proportional to 474,092.01, 654,193.40 and 280,505.66 is: 387,066.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,092.01 : 654,193.40 = 280,505.66 : x
  2. Step 2: Convert to fraction form
    474,092.01/654,193.40 = 280,505.66/x
  3. Step 3: Cross multiply
    474,092.01x = 654,193.40 × 280,505.66
  4. Step 4: Simplify right side
    474,092.01x = 183,504,946,761.15
  5. Step 5: Solve for x
    x = 183,504,946,761.15/474,092.01
  6. Step 6: Final answer
    x = 387,066.10

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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.