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Finding the Fourth Proportional to 566,742.77, 782,093.78 and 308,622.78

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Solution

The fourth proportional to 566,742.77, 782,093.78 and 308,622.78 is: 425,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,742.77 : 782,093.78 = 308,622.78 : x
  2. Step 2: Convert to fraction form
    566,742.77/782,093.78 = 308,622.78/x
  3. Step 3: Cross multiply
    566,742.77x = 782,093.78 × 308,622.78
  4. Step 4: Simplify right side
    566,742.77x = 241,371,958,418.17
  5. Step 5: Solve for x
    x = 241,371,958,418.17/566,742.77
  6. Step 6: Final answer
    x = 425,893.31

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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.