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Finding the Fourth Proportional to 328,902.24, 453,872.28 and 206,460.48

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Solution

The fourth proportional to 328,902.24, 453,872.28 and 206,460.48 is: 284,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,902.24 : 453,872.28 = 206,460.48 : x
  2. Step 2: Convert to fraction form
    328,902.24/453,872.28 = 206,460.48/x
  3. Step 3: Cross multiply
    328,902.24x = 453,872.28 × 206,460.48
  4. Step 4: Simplify right side
    328,902.24x = 93,706,688,787.49
  5. Step 5: Solve for x
    x = 93,706,688,787.49/328,902.24
  6. Step 6: Final answer
    x = 284,907.42

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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.