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Finding the Fourth Proportional to 538,802.81, 808,174.92 and 164,825.81

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Solution

The fourth proportional to 538,802.81, 808,174.92 and 164,825.81 is: 247,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,802.81 : 808,174.92 = 164,825.81 : x
  2. Step 2: Convert to fraction form
    538,802.81/808,174.92 = 164,825.81/x
  3. Step 3: Cross multiply
    538,802.81x = 808,174.92 × 164,825.81
  4. Step 4: Simplify right side
    538,802.81x = 133,208,085,810.69
  5. Step 5: Solve for x
    x = 133,208,085,810.69/538,802.81
  6. Step 6: Final answer
    x = 247,229.75

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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.