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Finding the Fourth Proportional to 277,858.92, 416,952 and 192,536.76

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Solution

The fourth proportional to 277,858.92, 416,952 and 192,536.76 is: 288,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,858.92 : 416,952 = 192,536.76 : x
  2. Step 2: Convert to fraction form
    277,858.92/416,952 = 192,536.76/x
  3. Step 3: Cross multiply
    277,858.92x = 416,952 × 192,536.76
  4. Step 4: Simplify right side
    277,858.92x = 80,278,587,155.52
  5. Step 5: Solve for x
    x = 80,278,587,155.52/277,858.92
  6. Step 6: Final answer
    x = 288,918.52

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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.