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Finding the Fourth Proportional to 277,799.66, 416,508 and 109,339.33

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Solution

The fourth proportional to 277,799.66, 416,508 and 109,339.33 is: 163,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,799.66 : 416,508 = 109,339.33 : x
  2. Step 2: Convert to fraction form
    277,799.66/416,508 = 109,339.33/x
  3. Step 3: Cross multiply
    277,799.66x = 416,508 × 109,339.33
  4. Step 4: Simplify right side
    277,799.66x = 45,540,703,577.10
  5. Step 5: Solve for x
    x = 45,540,703,577.10/277,799.66
  6. Step 6: Final answer
    x = 163,933.62

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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.