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Finding the Fourth Proportional to 357,035.88, 492,677.85 and 204,043.68

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Solution

The fourth proportional to 357,035.88, 492,677.85 and 204,043.68 is: 281,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,035.88 : 492,677.85 = 204,043.68 : x
  2. Step 2: Convert to fraction form
    357,035.88/492,677.85 = 204,043.68/x
  3. Step 3: Cross multiply
    357,035.88x = 492,677.85 × 204,043.68
  4. Step 4: Simplify right side
    357,035.88x = 100,527,801,568.49
  5. Step 5: Solve for x
    x = 100,527,801,568.49/357,035.88
  6. Step 6: Final answer
    x = 281,562.18

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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.