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Finding the Fourth Proportional to 538,849, 808,305.90 and 164,875.24

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Solution

The fourth proportional to 538,849, 808,305.90 and 164,875.24 is: 247,322.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,849 : 808,305.90 = 164,875.24 : x
  2. Step 2: Convert to fraction form
    538,849/808,305.90 = 164,875.24/x
  3. Step 3: Cross multiply
    538,849x = 808,305.90 × 164,875.24
  4. Step 4: Simplify right side
    538,849x = 133,269,629,255.92
  5. Step 5: Solve for x
    x = 133,269,629,255.92/538,849
  6. Step 6: Final answer
    x = 247,322.77

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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.