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Finding the Fourth Proportional to 497,188.44, 686,120.22 and 270,833.94

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Solution

The fourth proportional to 497,188.44, 686,120.22 and 270,833.94 is: 373,750.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,188.44 : 686,120.22 = 270,833.94 : x
  2. Step 2: Convert to fraction form
    497,188.44/686,120.22 = 270,833.94/x
  3. Step 3: Cross multiply
    497,188.44x = 686,120.22 × 270,833.94
  4. Step 4: Simplify right side
    497,188.44x = 185,824,642,496.27
  5. Step 5: Solve for x
    x = 185,824,642,496.27/497,188.44
  6. Step 6: Final answer
    x = 373,750.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.