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Finding the Fourth Proportional to 656,089.44, 905,470.32 and 401,608.80

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Solution

The fourth proportional to 656,089.44, 905,470.32 and 401,608.80 is: 554,261.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,089.44 : 905,470.32 = 401,608.80 : x
  2. Step 2: Convert to fraction form
    656,089.44/905,470.32 = 401,608.80/x
  3. Step 3: Cross multiply
    656,089.44x = 905,470.32 × 401,608.80
  4. Step 4: Simplify right side
    656,089.44x = 363,644,848,650.82
  5. Step 5: Solve for x
    x = 363,644,848,650.82/656,089.44
  6. Step 6: Final answer
    x = 554,261.09

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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.