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Finding the Fourth Proportional to 365,407.80, 504,265.50 and 204,269.40

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Solution

The fourth proportional to 365,407.80, 504,265.50 and 204,269.40 is: 281,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,407.80 : 504,265.50 = 204,269.40 : x
  2. Step 2: Convert to fraction form
    365,407.80/504,265.50 = 204,269.40/x
  3. Step 3: Cross multiply
    365,407.80x = 504,265.50 × 204,269.40
  4. Step 4: Simplify right side
    365,407.80x = 103,006,011,125.70
  5. Step 5: Solve for x
    x = 103,006,011,125.70/365,407.80
  6. Step 6: Final answer
    x = 281,893.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.