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Finding the Fourth Proportional to 617,843.57, 926,586.34 and 185,543.59

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Solution

The fourth proportional to 617,843.57, 926,586.34 and 185,543.59 is: 278,261.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,843.57 : 926,586.34 = 185,543.59 : x
  2. Step 2: Convert to fraction form
    617,843.57/926,586.34 = 185,543.59/x
  3. Step 3: Cross multiply
    617,843.57x = 926,586.34 × 185,543.59
  4. Step 4: Simplify right side
    617,843.57x = 171,922,153,188.24
  5. Step 5: Solve for x
    x = 171,922,153,188.24/617,843.57
  6. Step 6: Final answer
    x = 278,261.62

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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.