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Finding the Fourth Proportional to 310,240.86, 428,121 and 189,584.10

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Solution

The fourth proportional to 310,240.86, 428,121 and 189,584.10 is: 261,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,240.86 : 428,121 = 189,584.10 : x
  2. Step 2: Convert to fraction form
    310,240.86/428,121 = 189,584.10/x
  3. Step 3: Cross multiply
    310,240.86x = 428,121 × 189,584.10
  4. Step 4: Simplify right side
    310,240.86x = 81,164,934,476.10
  5. Step 5: Solve for x
    x = 81,164,934,476.10/310,240.86
  6. Step 6: Final answer
    x = 261,619.10

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