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Finding the Fourth Proportional to 640,765.53, 961,005.76 and 185,257.30

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Solution

The fourth proportional to 640,765.53, 961,005.76 and 185,257.30 is: 277,844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,765.53 : 961,005.76 = 185,257.30 : x
  2. Step 2: Convert to fraction form
    640,765.53/961,005.76 = 185,257.30/x
  3. Step 3: Cross multiply
    640,765.53x = 961,005.76 × 185,257.30
  4. Step 4: Simplify right side
    640,765.53x = 178,033,332,382.05
  5. Step 5: Solve for x
    x = 178,033,332,382.05/640,765.53
  6. Step 6: Final answer
    x = 277,844.74

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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.