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Finding the Fourth Proportional to 277,694.04, 416,226.06 and 127,624.16

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Solution

The fourth proportional to 277,694.04, 416,226.06 and 127,624.16 is: 191,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,694.04 : 416,226.06 = 127,624.16 : x
  2. Step 2: Convert to fraction form
    277,694.04/416,226.06 = 127,624.16/x
  3. Step 3: Cross multiply
    277,694.04x = 416,226.06 × 127,624.16
  4. Step 4: Simplify right side
    277,694.04x = 53,120,499,976.90
  5. Step 5: Solve for x
    x = 53,120,499,976.90/277,694.04
  6. Step 6: Final answer
    x = 191,291.47

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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.