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Finding the Fourth Proportional to 380,717.94, 571,078.20 and 96,408.36

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Solution

The fourth proportional to 380,717.94, 571,078.20 and 96,408.36 is: 144,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,717.94 : 571,078.20 = 96,408.36 : x
  2. Step 2: Convert to fraction form
    380,717.94/571,078.20 = 96,408.36/x
  3. Step 3: Cross multiply
    380,717.94x = 571,078.20 × 96,408.36
  4. Step 4: Simplify right side
    380,717.94x = 55,056,712,693.75
  5. Step 5: Solve for x
    x = 55,056,712,693.75/380,717.94
  6. Step 6: Final answer
    x = 144,612.87

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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.