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Finding the Fourth Proportional to 338,590.84, 507,906.93 and 113,932.42

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Solution

The fourth proportional to 338,590.84, 507,906.93 and 113,932.42 is: 170,905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,590.84 : 507,906.93 = 113,932.42 : x
  2. Step 2: Convert to fraction form
    338,590.84/507,906.93 = 113,932.42/x
  3. Step 3: Cross multiply
    338,590.84x = 507,906.93 × 113,932.42
  4. Step 4: Simplify right side
    338,590.84x = 57,867,065,669.67
  5. Step 5: Solve for x
    x = 57,867,065,669.67/338,590.84
  6. Step 6: Final answer
    x = 170,905.59

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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.