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Finding the Fourth Proportional to 475,761.78, 713,642.67 and 160,192.26

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Solution

The fourth proportional to 475,761.78, 713,642.67 and 160,192.26 is: 240,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,761.78 : 713,642.67 = 160,192.26 : x
  2. Step 2: Convert to fraction form
    475,761.78/713,642.67 = 160,192.26/x
  3. Step 3: Cross multiply
    475,761.78x = 713,642.67 × 160,192.26
  4. Step 4: Simplify right side
    475,761.78x = 114,320,032,139.73
  5. Step 5: Solve for x
    x = 114,320,032,139.73/475,761.78
  6. Step 6: Final answer
    x = 240,288.39

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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.