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Finding the Fourth Proportional to 338,542.52, 507,863 and 180,684.86

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Solution

The fourth proportional to 338,542.52, 507,863 and 180,684.86 is: 271,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,542.52 : 507,863 = 180,684.86 : x
  2. Step 2: Convert to fraction form
    338,542.52/507,863 = 180,684.86/x
  3. Step 3: Cross multiply
    338,542.52x = 507,863 × 180,684.86
  4. Step 4: Simplify right side
    338,542.52x = 91,763,155,054.18
  5. Step 5: Solve for x
    x = 91,763,155,054.18/338,542.52
  6. Step 6: Final answer
    x = 271,053.56

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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.