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Finding the Fourth Proportional to 362,499.84, 542,921.47 and 173,092.86

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Solution

The fourth proportional to 362,499.84, 542,921.47 and 173,092.86 is: 259,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,499.84 : 542,921.47 = 173,092.86 : x
  2. Step 2: Convert to fraction form
    362,499.84/542,921.47 = 173,092.86/x
  3. Step 3: Cross multiply
    362,499.84x = 542,921.47 × 173,092.86
  4. Step 4: Simplify right side
    362,499.84x = 93,975,829,564.97
  5. Step 5: Solve for x
    x = 93,975,829,564.97/362,499.84
  6. Step 6: Final answer
    x = 259,243.78

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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.