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Finding the Fourth Proportional to 276,776.68, 415,165.30 and 77,097.48

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Solution

The fourth proportional to 276,776.68, 415,165.30 and 77,097.48 is: 115,646.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,776.68 : 415,165.30 = 77,097.48 : x
  2. Step 2: Convert to fraction form
    276,776.68/415,165.30 = 77,097.48/x
  3. Step 3: Cross multiply
    276,776.68x = 415,165.30 × 77,097.48
  4. Step 4: Simplify right side
    276,776.68x = 32,008,198,413.44
  5. Step 5: Solve for x
    x = 32,008,198,413.44/276,776.68
  6. Step 6: Final answer
    x = 115,646.30

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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.