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Finding the Fourth Proportional to 415,539.69, 624,609.90 and 274,292.91

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Solution

The fourth proportional to 415,539.69, 624,609.90 and 274,292.91 is: 412,297.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,539.69 : 624,609.90 = 274,292.91 : x
  2. Step 2: Convert to fraction form
    415,539.69/624,609.90 = 274,292.91/x
  3. Step 3: Cross multiply
    415,539.69x = 624,609.90 × 274,292.91
  4. Step 4: Simplify right side
    415,539.69x = 171,326,067,085.81
  5. Step 5: Solve for x
    x = 171,326,067,085.81/415,539.69
  6. Step 6: Final answer
    x = 412,297.72

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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.