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Finding the Fourth Proportional to 369,977.67, 510,569.64 and 200,211.80

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Solution

The fourth proportional to 369,977.67, 510,569.64 and 200,211.80 is: 276,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,977.67 : 510,569.64 = 200,211.80 : x
  2. Step 2: Convert to fraction form
    369,977.67/510,569.64 = 200,211.80/x
  3. Step 3: Cross multiply
    369,977.67x = 510,569.64 × 200,211.80
  4. Step 4: Simplify right side
    369,977.67x = 102,222,063,095.85
  5. Step 5: Solve for x
    x = 102,222,063,095.85/369,977.67
  6. Step 6: Final answer
    x = 276,292.52

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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.