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Finding the Fourth Proportional to 521,789, 782,672.34 and 142,709.72

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Solution

The fourth proportional to 521,789, 782,672.34 and 142,709.72 is: 214,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,789 : 782,672.34 = 142,709.72 : x
  2. Step 2: Convert to fraction form
    521,789/782,672.34 = 142,709.72/x
  3. Step 3: Cross multiply
    521,789x = 782,672.34 × 142,709.72
  4. Step 4: Simplify right side
    521,789x = 111,694,950,493.15
  5. Step 5: Solve for x
    x = 111,694,950,493.15/521,789
  6. Step 6: Final answer
    x = 214,061.53

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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.