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Finding the Fourth Proportional to 338,661.51, 508,296.83 and 181,024.71

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Solution

The fourth proportional to 338,661.51, 508,296.83 and 181,024.71 is: 271,699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,661.51 : 508,296.83 = 181,024.71 : x
  2. Step 2: Convert to fraction form
    338,661.51/508,296.83 = 181,024.71/x
  3. Step 3: Cross multiply
    338,661.51x = 508,296.83 × 181,024.71
  4. Step 4: Simplify right side
    338,661.51x = 92,014,285,339.55
  5. Step 5: Solve for x
    x = 92,014,285,339.55/338,661.51
  6. Step 6: Final answer
    x = 271,699.86

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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.