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Finding the Fourth Proportional to 375,704.10, 518,491.53 and 205,945.38

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Solution

The fourth proportional to 375,704.10, 518,491.53 and 205,945.38 is: 284,215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,704.10 : 518,491.53 = 205,945.38 : x
  2. Step 2: Convert to fraction form
    375,704.10/518,491.53 = 205,945.38/x
  3. Step 3: Cross multiply
    375,704.10x = 518,491.53 × 205,945.38
  4. Step 4: Simplify right side
    375,704.10x = 106,780,935,172.63
  5. Step 5: Solve for x
    x = 106,780,935,172.63/375,704.10
  6. Step 6: Final answer
    x = 284,215.52

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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.