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Finding the Fourth Proportional to 468,094.38, 645,988.56 and 274,475.18

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Solution

The fourth proportional to 468,094.38, 645,988.56 and 274,475.18 is: 378,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,094.38 : 645,988.56 = 274,475.18 : x
  2. Step 2: Convert to fraction form
    468,094.38/645,988.56 = 274,475.18/x
  3. Step 3: Cross multiply
    468,094.38x = 645,988.56 × 274,475.18
  4. Step 4: Simplify right side
    468,094.38x = 177,307,826,283.94
  5. Step 5: Solve for x
    x = 177,307,826,283.94/468,094.38
  6. Step 6: Final answer
    x = 378,786.49

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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.