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Finding the Fourth Proportional to 349,188, 523,698.96 and 96,462.90

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Solution

The fourth proportional to 349,188, 523,698.96 and 96,462.90 is: 144,671.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,188 : 523,698.96 = 96,462.90 : x
  2. Step 2: Convert to fraction form
    349,188/523,698.96 = 96,462.90/x
  3. Step 3: Cross multiply
    349,188x = 523,698.96 × 96,462.90
  4. Step 4: Simplify right side
    349,188x = 50,517,520,408.58
  5. Step 5: Solve for x
    x = 50,517,520,408.58/349,188
  6. Step 6: Final answer
    x = 144,671.41

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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.