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Finding the Fourth Proportional to 727,537.70, 1,003,950.42 and 400,836.44

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Solution

The fourth proportional to 727,537.70, 1,003,950.42 and 400,836.44 is: 553,125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,537.70 : 1,003,950.42 = 400,836.44 : x
  2. Step 2: Convert to fraction form
    727,537.70/1,003,950.42 = 400,836.44/x
  3. Step 3: Cross multiply
    727,537.70x = 1,003,950.42 × 400,836.44
  4. Step 4: Simplify right side
    727,537.70x = 402,419,912,289.31
  5. Step 5: Solve for x
    x = 402,419,912,289.31/727,537.70
  6. Step 6: Final answer
    x = 553,125.85

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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.