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Finding the Fourth Proportional to 338,458.53, 507,713.31 and 113,819.61

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Solution

The fourth proportional to 338,458.53, 507,713.31 and 113,819.61 is: 170,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,458.53 : 507,713.31 = 113,819.61 : x
  2. Step 2: Convert to fraction form
    338,458.53/507,713.31 = 113,819.61/x
  3. Step 3: Cross multiply
    338,458.53x = 507,713.31 × 113,819.61
  4. Step 4: Simplify right side
    338,458.53x = 57,787,730,936.01
  5. Step 5: Solve for x
    x = 57,787,730,936.01/338,458.53
  6. Step 6: Final answer
    x = 170,738.00

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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.