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Finding the Fourth Proportional to 277,471.95, 416,190.84 and 170,876.22

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Solution

The fourth proportional to 277,471.95, 416,190.84 and 170,876.22 is: 256,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,471.95 : 416,190.84 = 170,876.22 : x
  2. Step 2: Convert to fraction form
    277,471.95/416,190.84 = 170,876.22/x
  3. Step 3: Cross multiply
    277,471.95x = 416,190.84 × 170,876.22
  4. Step 4: Simplify right side
    277,471.95x = 71,117,117,537.82
  5. Step 5: Solve for x
    x = 71,117,117,537.82/277,471.95
  6. Step 6: Final answer
    x = 256,303.81

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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.