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Finding the Fourth Proportional to 369,994.06, 510,593.31 and 200,228.18

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Solution

The fourth proportional to 369,994.06, 510,593.31 and 200,228.18 is: 276,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,994.06 : 510,593.31 = 200,228.18 : x
  2. Step 2: Convert to fraction form
    369,994.06/510,593.31 = 200,228.18/x
  3. Step 3: Cross multiply
    369,994.06x = 510,593.31 × 200,228.18
  4. Step 4: Simplify right side
    369,994.06x = 102,235,168,180.34
  5. Step 5: Solve for x
    x = 102,235,168,180.34/369,994.06
  6. Step 6: Final answer
    x = 276,315.71

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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.