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Finding the Fourth Proportional to 285,858.90, 394,509.51 and 158,575.50

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Solution

The fourth proportional to 285,858.90, 394,509.51 and 158,575.50 is: 218,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,858.90 : 394,509.51 = 158,575.50 : x
  2. Step 2: Convert to fraction form
    285,858.90/394,509.51 = 158,575.50/x
  3. Step 3: Cross multiply
    285,858.90x = 394,509.51 × 158,575.50
  4. Step 4: Simplify right side
    285,858.90x = 62,559,542,803.01
  5. Step 5: Solve for x
    x = 62,559,542,803.01/285,858.90
  6. Step 6: Final answer
    x = 218,847.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.