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Finding the Fourth Proportional to 369,627.84, 510,086.64 and 199,861.92

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Solution

The fourth proportional to 369,627.84, 510,086.64 and 199,861.92 is: 275,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,627.84 : 510,086.64 = 199,861.92 : x
  2. Step 2: Convert to fraction form
    369,627.84/510,086.64 = 199,861.92/x
  3. Step 3: Cross multiply
    369,627.84x = 510,086.64 × 199,861.92
  4. Step 4: Simplify right side
    369,627.84x = 101,946,895,236.75
  5. Step 5: Solve for x
    x = 101,946,895,236.75/369,627.84
  6. Step 6: Final answer
    x = 275,809.57

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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.