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Finding the Fourth Proportional to 338,064.62, 507,174.70 and 113,454.86

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Solution

The fourth proportional to 338,064.62, 507,174.70 and 113,454.86 is: 170,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,064.62 : 507,174.70 = 113,454.86 : x
  2. Step 2: Convert to fraction form
    338,064.62/507,174.70 = 113,454.86/x
  3. Step 3: Cross multiply
    338,064.62x = 507,174.70 × 113,454.86
  4. Step 4: Simplify right side
    338,064.62x = 57,541,434,584.04
  5. Step 5: Solve for x
    x = 57,541,434,584.04/338,064.62
  6. Step 6: Final answer
    x = 170,208.39

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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.