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Finding the Fourth Proportional to 468,095.38, 645,989.94 and 274,476.18

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Solution

The fourth proportional to 468,095.38, 645,989.94 and 274,476.18 is: 378,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,095.38 : 645,989.94 = 274,476.18 : x
  2. Step 2: Convert to fraction form
    468,095.38/645,989.94 = 274,476.18/x
  3. Step 3: Cross multiply
    468,095.38x = 645,989.94 × 274,476.18
  4. Step 4: Simplify right side
    468,095.38x = 177,308,851,049.63
  5. Step 5: Solve for x
    x = 177,308,851,049.63/468,095.38
  6. Step 6: Final answer
    x = 378,787.87

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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.