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Finding the Fourth Proportional to 356,463.77, 534,517.74 and 116,546.42

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Solution

The fourth proportional to 356,463.77, 534,517.74 and 116,546.42 is: 174,761.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,463.77 : 534,517.74 = 116,546.42 : x
  2. Step 2: Convert to fraction form
    356,463.77/534,517.74 = 116,546.42/x
  3. Step 3: Cross multiply
    356,463.77x = 534,517.74 × 116,546.42
  4. Step 4: Simplify right side
    356,463.77x = 62,296,129,023.49
  5. Step 5: Solve for x
    x = 62,296,129,023.49/356,463.77
  6. Step 6: Final answer
    x = 174,761.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.