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Finding the Fourth Proportional to 538,808.30, 808,183.15 and 164,831.30

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Solution

The fourth proportional to 538,808.30, 808,183.15 and 164,831.30 is: 247,237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,808.30 : 808,183.15 = 164,831.30 : x
  2. Step 2: Convert to fraction form
    538,808.30/808,183.15 = 164,831.30/x
  3. Step 3: Cross multiply
    538,808.30x = 808,183.15 × 164,831.30
  4. Step 4: Simplify right side
    538,808.30x = 133,213,879,252.60
  5. Step 5: Solve for x
    x = 133,213,879,252.60/538,808.30
  6. Step 6: Final answer
    x = 247,237.99

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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.