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Finding the Fourth Proportional to 482,273.24, 723,262.09 and 333,469.76

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Solution

The fourth proportional to 482,273.24, 723,262.09 and 333,469.76 is: 500,102.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,273.24 : 723,262.09 = 333,469.76 : x
  2. Step 2: Convert to fraction form
    482,273.24/723,262.09 = 333,469.76/x
  3. Step 3: Cross multiply
    482,273.24x = 723,262.09 × 333,469.76
  4. Step 4: Simplify right side
    482,273.24x = 241,186,035,569.40
  5. Step 5: Solve for x
    x = 241,186,035,569.40/482,273.24
  6. Step 6: Final answer
    x = 500,102.46

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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.