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Finding the Fourth Proportional to 599,705.78, 899,296.22 and 178,897.82

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Solution

The fourth proportional to 599,705.78, 899,296.22 and 178,897.82 is: 268,268.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,705.78 : 899,296.22 = 178,897.82 : x
  2. Step 2: Convert to fraction form
    599,705.78/899,296.22 = 178,897.82/x
  3. Step 3: Cross multiply
    599,705.78x = 899,296.22 × 178,897.82
  4. Step 4: Simplify right side
    599,705.78x = 160,882,129,243.00
  5. Step 5: Solve for x
    x = 160,882,129,243.00/599,705.78
  6. Step 6: Final answer
    x = 268,268.43

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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.