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Finding the Fourth Proportional to 365,742.84, 504,766.98 and 204,638.70

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Solution

The fourth proportional to 365,742.84, 504,766.98 and 204,638.70 is: 282,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,742.84 : 504,766.98 = 204,638.70 : x
  2. Step 2: Convert to fraction form
    365,742.84/504,766.98 = 204,638.70/x
  3. Step 3: Cross multiply
    365,742.84x = 504,766.98 × 204,638.70
  4. Step 4: Simplify right side
    365,742.84x = 103,294,858,590.13
  5. Step 5: Solve for x
    x = 103,294,858,590.13/365,742.84
  6. Step 6: Final answer
    x = 282,424.83

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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.