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Finding the Fourth Proportional to 333,217.16, 459,652.74 and 204,218.12

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Solution

The fourth proportional to 333,217.16, 459,652.74 and 204,218.12 is: 281,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,217.16 : 459,652.74 = 204,218.12 : x
  2. Step 2: Convert to fraction form
    333,217.16/459,652.74 = 204,218.12/x
  3. Step 3: Cross multiply
    333,217.16x = 459,652.74 × 204,218.12
  4. Step 4: Simplify right side
    333,217.16x = 93,869,416,117.39
  5. Step 5: Solve for x
    x = 93,869,416,117.39/333,217.16
  6. Step 6: Final answer
    x = 281,706.43

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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.