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Finding the Fourth Proportional to 354,538.85, 531,808.34 and 117,883.58

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Solution

The fourth proportional to 354,538.85, 531,808.34 and 117,883.58 is: 176,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,538.85 : 531,808.34 = 117,883.58 : x
  2. Step 2: Convert to fraction form
    354,538.85/531,808.34 = 117,883.58/x
  3. Step 3: Cross multiply
    354,538.85x = 531,808.34 × 117,883.58
  4. Step 4: Simplify right side
    354,538.85x = 62,691,467,744.60
  5. Step 5: Solve for x
    x = 62,691,467,744.60/354,538.85
  6. Step 6: Final answer
    x = 176,825.38

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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.