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Finding the Fourth Proportional to 356,896.80, 534,891.60 and 146,296.80

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Solution

The fourth proportional to 356,896.80, 534,891.60 and 146,296.80 is: 219,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,896.80 : 534,891.60 = 146,296.80 : x
  2. Step 2: Convert to fraction form
    356,896.80/534,891.60 = 146,296.80/x
  3. Step 3: Cross multiply
    356,896.80x = 534,891.60 × 146,296.80
  4. Step 4: Simplify right side
    356,896.80x = 78,252,929,426.88
  5. Step 5: Solve for x
    x = 78,252,929,426.88/356,896.80
  6. Step 6: Final answer
    x = 219,259.26

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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.