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Finding the Fourth Proportional to 538,204.16, 807,384.48 and 164,178.56

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Solution

The fourth proportional to 538,204.16, 807,384.48 and 164,178.56 is: 246,291.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,204.16 : 807,384.48 = 164,178.56 : x
  2. Step 2: Convert to fraction form
    538,204.16/807,384.48 = 164,178.56/x
  3. Step 3: Cross multiply
    538,204.16x = 807,384.48 × 164,178.56
  4. Step 4: Simplify right side
    538,204.16x = 132,555,221,292.75
  5. Step 5: Solve for x
    x = 132,555,221,292.75/538,204.16
  6. Step 6: Final answer
    x = 246,291.71

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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.