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Finding the Fourth Proportional to 277,273.62, 415,913.66 and 97,363.50

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Solution

The fourth proportional to 277,273.62, 415,913.66 and 97,363.50 is: 146,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,273.62 : 415,913.66 = 97,363.50 : x
  2. Step 2: Convert to fraction form
    277,273.62/415,913.66 = 97,363.50/x
  3. Step 3: Cross multiply
    277,273.62x = 415,913.66 × 97,363.50
  4. Step 4: Simplify right side
    277,273.62x = 40,494,809,635.41
  5. Step 5: Solve for x
    x = 40,494,809,635.41/277,273.62
  6. Step 6: Final answer
    x = 146,046.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.