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Finding the Fourth Proportional to 338,201.20, 507,360.30 and 113,583.40

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Solution

The fourth proportional to 338,201.20, 507,360.30 and 113,583.40 is: 170,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,201.20 : 507,360.30 = 113,583.40 : x
  2. Step 2: Convert to fraction form
    338,201.20/507,360.30 = 113,583.40/x
  3. Step 3: Cross multiply
    338,201.20x = 507,360.30 × 113,583.40
  4. Step 4: Simplify right side
    338,201.20x = 57,627,707,899.02
  5. Step 5: Solve for x
    x = 57,627,707,899.02/338,201.20
  6. Step 6: Final answer
    x = 170,394.75

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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.