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Finding the Fourth Proportional to 305,523.74, 458,176.26 and 105,790.50

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Solution

The fourth proportional to 305,523.74, 458,176.26 and 105,790.50 is: 158,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,523.74 : 458,176.26 = 105,790.50 : x
  2. Step 2: Convert to fraction form
    305,523.74/458,176.26 = 105,790.50/x
  3. Step 3: Cross multiply
    305,523.74x = 458,176.26 × 105,790.50
  4. Step 4: Simplify right side
    305,523.74x = 48,470,695,633.53
  5. Step 5: Solve for x
    x = 48,470,695,633.53/305,523.74
  6. Step 6: Final answer
    x = 158,647.89

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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.