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Finding the Fourth Proportional to 453,917, 680,814.20 and 187,640.58

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Solution

The fourth proportional to 453,917, 680,814.20 and 187,640.58 is: 281,435.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,917 : 680,814.20 = 187,640.58 : x
  2. Step 2: Convert to fraction form
    453,917/680,814.20 = 187,640.58/x
  3. Step 3: Cross multiply
    453,917x = 680,814.20 × 187,640.58
  4. Step 4: Simplify right side
    453,917x = 127,748,371,360.24
  5. Step 5: Solve for x
    x = 127,748,371,360.24/453,917
  6. Step 6: Final answer
    x = 281,435.53

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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.