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Finding the Fourth Proportional to 365,702.96, 504,716.80 and 204,566.96

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Solution

The fourth proportional to 365,702.96, 504,716.80 and 204,566.96 is: 282,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,702.96 : 504,716.80 = 204,566.96 : x
  2. Step 2: Convert to fraction form
    365,702.96/504,716.80 = 204,566.96/x
  3. Step 3: Cross multiply
    365,702.96x = 504,716.80 × 204,566.96
  4. Step 4: Simplify right side
    365,702.96x = 103,248,381,436.93
  5. Step 5: Solve for x
    x = 103,248,381,436.93/365,702.96
  6. Step 6: Final answer
    x = 282,328.54

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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.