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Finding the Fourth Proportional to 457,027, 685,802.82 and 356,906.12

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Solution

The fourth proportional to 457,027, 685,802.82 and 356,906.12 is: 535,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,027 : 685,802.82 = 356,906.12 : x
  2. Step 2: Convert to fraction form
    457,027/685,802.82 = 356,906.12/x
  3. Step 3: Cross multiply
    457,027x = 685,802.82 × 356,906.12
  4. Step 4: Simplify right side
    457,027x = 244,767,223,571.26
  5. Step 5: Solve for x
    x = 244,767,223,571.26/457,027
  6. Step 6: Final answer
    x = 535,564.03

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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.