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Finding the Fourth Proportional to 277,809.87, 416,786.71 and 85,680.06

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Solution

The fourth proportional to 277,809.87, 416,786.71 and 85,680.06 is: 128,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,809.87 : 416,786.71 = 85,680.06 : x
  2. Step 2: Convert to fraction form
    277,809.87/416,786.71 = 85,680.06/x
  3. Step 3: Cross multiply
    277,809.87x = 416,786.71 × 85,680.06
  4. Step 4: Simplify right side
    277,809.87x = 35,710,310,320.00
  5. Step 5: Solve for x
    x = 35,710,310,320.00/277,809.87
  6. Step 6: Final answer
    x = 128,542.27

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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.