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Finding the Fourth Proportional to 468,902.64, 647,047.35 and 275,289.96

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Solution

The fourth proportional to 468,902.64, 647,047.35 and 275,289.96 is: 379,877.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,902.64 : 647,047.35 = 275,289.96 : x
  2. Step 2: Convert to fraction form
    468,902.64/647,047.35 = 275,289.96/x
  3. Step 3: Cross multiply
    468,902.64x = 647,047.35 × 275,289.96
  4. Step 4: Simplify right side
    468,902.64x = 178,125,639,099.61
  5. Step 5: Solve for x
    x = 178,125,639,099.61/468,902.64
  6. Step 6: Final answer
    x = 379,877.66

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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.