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Finding the Fourth Proportional to 500,568.54, 690,787.02 and 274,214.04

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Solution

The fourth proportional to 500,568.54, 690,787.02 and 274,214.04 is: 378,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,568.54 : 690,787.02 = 274,214.04 : x
  2. Step 2: Convert to fraction form
    500,568.54/690,787.02 = 274,214.04/x
  3. Step 3: Cross multiply
    500,568.54x = 690,787.02 × 274,214.04
  4. Step 4: Simplify right side
    500,568.54x = 189,423,499,533.76
  5. Step 5: Solve for x
    x = 189,423,499,533.76/500,568.54
  6. Step 6: Final answer
    x = 378,416.71

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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.