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Finding the Fourth Proportional to 437,866.62, 656,827.67 and 185,100

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Solution

The fourth proportional to 437,866.62, 656,827.67 and 185,100 is: 277,661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,866.62 : 656,827.67 = 185,100 : x
  2. Step 2: Convert to fraction form
    437,866.62/656,827.67 = 185,100/x
  3. Step 3: Cross multiply
    437,866.62x = 656,827.67 × 185,100
  4. Step 4: Simplify right side
    437,866.62x = 121,578,801,717.00
  5. Step 5: Solve for x
    x = 121,578,801,717.00/437,866.62
  6. Step 6: Final answer
    x = 277,661.73

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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.