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Finding the Fourth Proportional to 277,852.56, 416,589.10 and 133,682.28

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Solution

The fourth proportional to 277,852.56, 416,589.10 and 133,682.28 is: 200,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,852.56 : 416,589.10 = 133,682.28 : x
  2. Step 2: Convert to fraction form
    277,852.56/416,589.10 = 133,682.28/x
  3. Step 3: Cross multiply
    277,852.56x = 416,589.10 × 133,682.28
  4. Step 4: Simplify right side
    277,852.56x = 55,690,580,711.15
  5. Step 5: Solve for x
    x = 55,690,580,711.15/277,852.56
  6. Step 6: Final answer
    x = 200,432.13

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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.