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Finding the Fourth Proportional to 285,653.40, 428,508.52 and 105,786.96

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Solution

The fourth proportional to 285,653.40, 428,508.52 and 105,786.96 is: 158,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,653.40 : 428,508.52 = 105,786.96 : x
  2. Step 2: Convert to fraction form
    285,653.40/428,508.52 = 105,786.96/x
  3. Step 3: Cross multiply
    285,653.40x = 428,508.52 × 105,786.96
  4. Step 4: Simplify right side
    285,653.40x = 45,330,613,400.43
  5. Step 5: Solve for x
    x = 45,330,613,400.43/285,653.40
  6. Step 6: Final answer
    x = 158,690.96

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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.