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Finding the Fourth Proportional to 338,464.56, 507,722.34 and 113,825.64

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Solution

The fourth proportional to 338,464.56, 507,722.34 and 113,825.64 is: 170,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,464.56 : 507,722.34 = 113,825.64 : x
  2. Step 2: Convert to fraction form
    338,464.56/507,722.34 = 113,825.64/x
  3. Step 3: Cross multiply
    338,464.56x = 507,722.34 × 113,825.64
  4. Step 4: Simplify right side
    338,464.56x = 57,791,820,292.80
  5. Step 5: Solve for x
    x = 57,791,820,292.80/338,464.56
  6. Step 6: Final answer
    x = 170,747.04

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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.