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Finding the Fourth Proportional to 507,422.75, 760,194.50 and 254,407.91

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Solution

The fourth proportional to 507,422.75, 760,194.50 and 254,407.91 is: 381,140.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,422.75 : 760,194.50 = 254,407.91 : x
  2. Step 2: Convert to fraction form
    507,422.75/760,194.50 = 254,407.91/x
  3. Step 3: Cross multiply
    507,422.75x = 760,194.50 × 254,407.91
  4. Step 4: Simplify right side
    507,422.75x = 193,399,488,865.48
  5. Step 5: Solve for x
    x = 193,399,488,865.48/507,422.75
  6. Step 6: Final answer
    x = 381,140.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.