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Finding the Fourth Proportional to 362,735.86, 544,103.14 and 96,496.38

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Solution

The fourth proportional to 362,735.86, 544,103.14 and 96,496.38 is: 144,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,735.86 : 544,103.14 = 96,496.38 : x
  2. Step 2: Convert to fraction form
    362,735.86/544,103.14 = 96,496.38/x
  3. Step 3: Cross multiply
    362,735.86x = 544,103.14 × 96,496.38
  4. Step 4: Simplify right side
    362,735.86x = 52,503,984,647.59
  5. Step 5: Solve for x
    x = 52,503,984,647.59/362,735.86
  6. Step 6: Final answer
    x = 144,744.40

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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.