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Finding the Fourth Proportional to 369,997.88, 510,597.07 and 200,232

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Solution

The fourth proportional to 369,997.88, 510,597.07 and 200,232 is: 276,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,997.88 : 510,597.07 = 200,232 : x
  2. Step 2: Convert to fraction form
    369,997.88/510,597.07 = 200,232/x
  3. Step 3: Cross multiply
    369,997.88x = 510,597.07 × 200,232
  4. Step 4: Simplify right side
    369,997.88x = 102,237,872,019.66
  5. Step 5: Solve for x
    x = 102,237,872,019.66/369,997.88
  6. Step 6: Final answer
    x = 276,320.16

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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.