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Finding the Fourth Proportional to 317,859.73, 438,644.31 and 172,664.19

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Solution

The fourth proportional to 317,859.73, 438,644.31 and 172,664.19 is: 238,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,859.73 : 438,644.31 = 172,664.19 : x
  2. Step 2: Convert to fraction form
    317,859.73/438,644.31 = 172,664.19/x
  3. Step 3: Cross multiply
    317,859.73x = 438,644.31 × 172,664.19
  4. Step 4: Simplify right side
    317,859.73x = 75,738,164,484.26
  5. Step 5: Solve for x
    x = 75,738,164,484.26/317,859.73
  6. Step 6: Final answer
    x = 238,275.44

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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.