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Finding the Fourth Proportional to 369,749.38, 510,254.40 and 199,983.46

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Solution

The fourth proportional to 369,749.38, 510,254.40 and 199,983.46 is: 275,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,749.38 : 510,254.40 = 199,983.46 : x
  2. Step 2: Convert to fraction form
    369,749.38/510,254.40 = 199,983.46/x
  3. Step 3: Cross multiply
    369,749.38x = 510,254.40 × 199,983.46
  4. Step 4: Simplify right side
    369,749.38x = 102,042,440,392.22
  5. Step 5: Solve for x
    x = 102,042,440,392.22/369,749.38
  6. Step 6: Final answer
    x = 275,977.31

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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.