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Finding the Fourth Proportional to 278,092.15, 416,661.46 and 186,736.30

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Solution

The fourth proportional to 278,092.15, 416,661.46 and 186,736.30 is: 279,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,092.15 : 416,661.46 = 186,736.30 : x
  2. Step 2: Convert to fraction form
    278,092.15/416,661.46 = 186,736.30/x
  3. Step 3: Cross multiply
    278,092.15x = 416,661.46 × 186,736.30
  4. Step 4: Simplify right side
    278,092.15x = 77,805,817,884.50
  5. Step 5: Solve for x
    x = 77,805,817,884.50/278,092.15
  6. Step 6: Final answer
    x = 279,784.30

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1.5x scale

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.