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Finding the Fourth Proportional to 566,893.78, 782,297.38 and 308,764.86

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Solution

The fourth proportional to 566,893.78, 782,297.38 and 308,764.86 is: 426,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,893.78 : 782,297.38 = 308,764.86 : x
  2. Step 2: Convert to fraction form
    566,893.78/782,297.38 = 308,764.86/x
  3. Step 3: Cross multiply
    566,893.78x = 782,297.38 × 308,764.86
  4. Step 4: Simplify right side
    566,893.78x = 241,545,941,014.07
  5. Step 5: Solve for x
    x = 241,545,941,014.07/566,893.78
  6. Step 6: Final answer
    x = 426,086.77

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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.