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Finding the Fourth Proportional to 312,508.53, 468,936.54 and 152,586.48

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Solution

The fourth proportional to 312,508.53, 468,936.54 and 152,586.48 is: 228,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,508.53 : 468,936.54 = 152,586.48 : x
  2. Step 2: Convert to fraction form
    312,508.53/468,936.54 = 152,586.48/x
  3. Step 3: Cross multiply
    312,508.53x = 468,936.54 × 152,586.48
  4. Step 4: Simplify right side
    312,508.53x = 71,553,377,740.49
  5. Step 5: Solve for x
    x = 71,553,377,740.49/312,508.53
  6. Step 6: Final answer
    x = 228,964.56

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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.