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Finding the Fourth Proportional to 282,380.40, 389,705.40 and 186,721.20

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Solution

The fourth proportional to 282,380.40, 389,705.40 and 186,721.20 is: 257,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,380.40 : 389,705.40 = 186,721.20 : x
  2. Step 2: Convert to fraction form
    282,380.40/389,705.40 = 186,721.20/x
  3. Step 3: Cross multiply
    282,380.40x = 389,705.40 × 186,721.20
  4. Step 4: Simplify right side
    282,380.40x = 72,766,259,934.48
  5. Step 5: Solve for x
    x = 72,766,259,934.48/282,380.40
  6. Step 6: Final answer
    x = 257,688.78

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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.