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Finding the Fourth Proportional to 282,786, 389,955.36 and 187,257.84

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Solution

The fourth proportional to 282,786, 389,955.36 and 187,257.84 is: 258,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,786 : 389,955.36 = 187,257.84 : x
  2. Step 2: Convert to fraction form
    282,786/389,955.36 = 187,257.84/x
  3. Step 3: Cross multiply
    282,786x = 389,955.36 × 187,257.84
  4. Step 4: Simplify right side
    282,786x = 73,022,198,410.02
  5. Step 5: Solve for x
    x = 73,022,198,410.02/282,786
  6. Step 6: Final answer
    x = 258,224.23

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1.5x scale

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.