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Finding the Fourth Proportional to 375,153.73, 517,785.01 and 284,351.31

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Solution

The fourth proportional to 375,153.73, 517,785.01 and 284,351.31 is: 392,460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,153.73 : 517,785.01 = 284,351.31 : x
  2. Step 2: Convert to fraction form
    375,153.73/517,785.01 = 284,351.31/x
  3. Step 3: Cross multiply
    375,153.73x = 517,785.01 × 284,351.31
  4. Step 4: Simplify right side
    375,153.73x = 147,232,845,180.99
  5. Step 5: Solve for x
    x = 147,232,845,180.99/375,153.73
  6. Step 6: Final answer
    x = 392,460.04

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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.