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Finding the Fourth Proportional to 557,096.80, 769,013.04 and 375,916

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Solution

The fourth proportional to 557,096.80, 769,013.04 and 375,916 is: 518,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,096.80 : 769,013.04 = 375,916 : x
  2. Step 2: Convert to fraction form
    557,096.80/769,013.04 = 375,916/x
  3. Step 3: Cross multiply
    557,096.80x = 769,013.04 × 375,916
  4. Step 4: Simplify right side
    557,096.80x = 289,084,305,944.64
  5. Step 5: Solve for x
    x = 289,084,305,944.64/557,096.80
  6. Step 6: Final answer
    x = 518,912.16

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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.