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Finding the Fourth Proportional to 369,378.17, 509,741.84 and 208,233.23

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Solution

The fourth proportional to 369,378.17, 509,741.84 and 208,233.23 is: 287,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,378.17 : 509,741.84 = 208,233.23 : x
  2. Step 2: Convert to fraction form
    369,378.17/509,741.84 = 208,233.23/x
  3. Step 3: Cross multiply
    369,378.17x = 509,741.84 × 208,233.23
  4. Step 4: Simplify right side
    369,378.17x = 106,145,187,781.22
  5. Step 5: Solve for x
    x = 106,145,187,781.22/369,378.17
  6. Step 6: Final answer
    x = 287,361.83

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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.