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Finding the Fourth Proportional to 538,729.60, 807,964.80 and 164,755.84

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Solution

The fourth proportional to 538,729.60, 807,964.80 and 164,755.84 is: 247,094.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,729.60 : 807,964.80 = 164,755.84 : x
  2. Step 2: Convert to fraction form
    538,729.60/807,964.80 = 164,755.84/x
  3. Step 3: Cross multiply
    538,729.60x = 807,964.80 × 164,755.84
  4. Step 4: Simplify right side
    538,729.60x = 133,116,919,314.43
  5. Step 5: Solve for x
    x = 133,116,919,314.43/538,729.60
  6. Step 6: Final answer
    x = 247,094.13

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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.