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Finding the Fourth Proportional to 338,528.91, 507,842.37 and 180,671.25

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Solution

The fourth proportional to 338,528.91, 507,842.37 and 180,671.25 is: 271,033.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,528.91 : 507,842.37 = 180,671.25 : x
  2. Step 2: Convert to fraction form
    338,528.91/507,842.37 = 180,671.25/x
  3. Step 3: Cross multiply
    338,528.91x = 507,842.37 × 180,671.25
  4. Step 4: Simplify right side
    338,528.91x = 91,752,515,790.86
  5. Step 5: Solve for x
    x = 91,752,515,790.86/338,528.91
  6. Step 6: Final answer
    x = 271,033.03

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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.