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Finding the Fourth Proportional to 391,509.84, 587,265.12 and 96,021.84

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Solution

The fourth proportional to 391,509.84, 587,265.12 and 96,021.84 is: 144,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,509.84 : 587,265.12 = 96,021.84 : x
  2. Step 2: Convert to fraction form
    391,509.84/587,265.12 = 96,021.84/x
  3. Step 3: Cross multiply
    391,509.84x = 587,265.12 × 96,021.84
  4. Step 4: Simplify right side
    391,509.84x = 56,390,277,390.22
  5. Step 5: Solve for x
    x = 56,390,277,390.22/391,509.84
  6. Step 6: Final answer
    x = 144,032.85

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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.