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Finding the Fourth Proportional to 277,512.59, 416,268.97 and 97,730.77

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Solution

The fourth proportional to 277,512.59, 416,268.97 and 97,730.77 is: 146,596.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,512.59 : 416,268.97 = 97,730.77 : x
  2. Step 2: Convert to fraction form
    277,512.59/416,268.97 = 97,730.77/x
  3. Step 3: Cross multiply
    277,512.59x = 416,268.97 × 97,730.77
  4. Step 4: Simplify right side
    277,512.59x = 40,682,284,635.86
  5. Step 5: Solve for x
    x = 40,682,284,635.86/277,512.59
  6. Step 6: Final answer
    x = 146,596.18

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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.