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Finding the Fourth Proportional to 520,920, 781,383.84 and 126,936

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Solution

The fourth proportional to 520,920, 781,383.84 and 126,936 is: 190,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,920 : 781,383.84 = 126,936 : x
  2. Step 2: Convert to fraction form
    520,920/781,383.84 = 126,936/x
  3. Step 3: Cross multiply
    520,920x = 781,383.84 × 126,936
  4. Step 4: Simplify right side
    520,920x = 99,185,739,114.24
  5. Step 5: Solve for x
    x = 99,185,739,114.24/520,920
  6. Step 6: Final answer
    x = 190,404.94

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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.