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Finding the Fourth Proportional to 538,802.31, 808,174.17 and 164,825.31

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Solution

The fourth proportional to 538,802.31, 808,174.17 and 164,825.31 is: 247,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,802.31 : 808,174.17 = 164,825.31 : x
  2. Step 2: Convert to fraction form
    538,802.31/808,174.17 = 164,825.31/x
  3. Step 3: Cross multiply
    538,802.31x = 808,174.17 × 164,825.31
  4. Step 4: Simplify right side
    538,802.31x = 133,207,558,104.24
  5. Step 5: Solve for x
    x = 133,207,558,104.24/538,802.31
  6. Step 6: Final answer
    x = 247,229.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.