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Finding the Fourth Proportional to 304,846.44, 420,692.31 and 175,782.66

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Solution

The fourth proportional to 304,846.44, 420,692.31 and 175,782.66 is: 242,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,846.44 : 420,692.31 = 175,782.66 : x
  2. Step 2: Convert to fraction form
    304,846.44/420,692.31 = 175,782.66/x
  3. Step 3: Cross multiply
    304,846.44x = 420,692.31 × 175,782.66
  4. Step 4: Simplify right side
    304,846.44x = 73,950,413,293.34
  5. Step 5: Solve for x
    x = 73,950,413,293.34/304,846.44
  6. Step 6: Final answer
    x = 242,582.51

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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.