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Finding the Fourth Proportional to 329,652.33, 496,949.24 and 307,680.94

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Solution

The fourth proportional to 329,652.33, 496,949.24 and 307,680.94 is: 463,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,652.33 : 496,949.24 = 307,680.94 : x
  2. Step 2: Convert to fraction form
    329,652.33/496,949.24 = 307,680.94/x
  3. Step 3: Cross multiply
    329,652.33x = 496,949.24 × 307,680.94
  4. Step 4: Simplify right side
    329,652.33x = 152,901,809,295.49
  5. Step 5: Solve for x
    x = 152,901,809,295.49/329,652.33
  6. Step 6: Final answer
    x = 463,827.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.