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Finding the Fourth Proportional to 538,802.56, 808,174.55 and 164,825.56

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Solution

The fourth proportional to 538,802.56, 808,174.55 and 164,825.56 is: 247,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,802.56 : 808,174.55 = 164,825.56 : x
  2. Step 2: Convert to fraction form
    538,802.56/808,174.55 = 164,825.56/x
  3. Step 3: Cross multiply
    538,802.56x = 808,174.55 × 164,825.56
  4. Step 4: Simplify right side
    538,802.56x = 133,207,821,957.37
  5. Step 5: Solve for x
    x = 133,207,821,957.37/538,802.56
  6. Step 6: Final answer
    x = 247,229.38

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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.