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Finding the Fourth Proportional to 369,583.48, 510,025.16 and 199,817.61

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Solution

The fourth proportional to 369,583.48, 510,025.16 and 199,817.61 is: 275,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,583.48 : 510,025.16 = 199,817.61 : x
  2. Step 2: Convert to fraction form
    369,583.48/510,025.16 = 199,817.61/x
  3. Step 3: Cross multiply
    369,583.48x = 510,025.16 × 199,817.61
  4. Step 4: Simplify right side
    369,583.48x = 101,912,007,408.49
  5. Step 5: Solve for x
    x = 101,912,007,408.49/369,583.48
  6. Step 6: Final answer
    x = 275,748.27

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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.