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Finding the Fourth Proportional to 285,973.50, 428,949.48 and 86,288.58

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Solution

The fourth proportional to 285,973.50, 428,949.48 and 86,288.58 is: 129,429.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,973.50 : 428,949.48 = 86,288.58 : x
  2. Step 2: Convert to fraction form
    285,973.50/428,949.48 = 86,288.58/x
  3. Step 3: Cross multiply
    285,973.50x = 428,949.48 × 86,288.58
  4. Step 4: Simplify right side
    285,973.50x = 37,013,441,520.94
  5. Step 5: Solve for x
    x = 37,013,441,520.94/285,973.50
  6. Step 6: Final answer
    x = 129,429.62

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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.