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Finding the Fourth Proportional to 282,395.97, 389,490.53 and 191,821.77

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Solution

The fourth proportional to 282,395.97, 389,490.53 and 191,821.77 is: 264,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,395.97 : 389,490.53 = 191,821.77 : x
  2. Step 2: Convert to fraction form
    282,395.97/389,490.53 = 191,821.77/x
  3. Step 3: Cross multiply
    282,395.97x = 389,490.53 × 191,821.77
  4. Step 4: Simplify right side
    282,395.97x = 74,712,761,903.73
  5. Step 5: Solve for x
    x = 74,712,761,903.73/282,395.97
  6. Step 6: Final answer
    x = 264,567.38

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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.