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Finding the Fourth Proportional to 529,713, 731,004.06 and 291,249

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Solution

The fourth proportional to 529,713, 731,004.06 and 291,249 is: 401,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,713 : 731,004.06 = 291,249 : x
  2. Step 2: Convert to fraction form
    529,713/731,004.06 = 291,249/x
  3. Step 3: Cross multiply
    529,713x = 731,004.06 × 291,249
  4. Step 4: Simplify right side
    529,713x = 212,904,201,470.94
  5. Step 5: Solve for x
    x = 212,904,201,470.94/529,713
  6. Step 6: Final answer
    x = 401,923.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.