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Finding the Fourth Proportional to 338,105.80, 507,741.90 and 180,641.80

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Solution

The fourth proportional to 338,105.80, 507,741.90 and 180,641.80 is: 271,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,105.80 : 507,741.90 = 180,641.80 : x
  2. Step 2: Convert to fraction form
    338,105.80/507,741.90 = 180,641.80/x
  3. Step 3: Cross multiply
    338,105.80x = 507,741.90 × 180,641.80
  4. Step 4: Simplify right side
    338,105.80x = 91,719,410,751.42
  5. Step 5: Solve for x
    x = 91,719,410,751.42/338,105.80
  6. Step 6: Final answer
    x = 271,274.29

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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.