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Finding the Fourth Proportional to 415,865.79, 623,837.97 and 116,346.42

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Solution

The fourth proportional to 415,865.79, 623,837.97 and 116,346.42 is: 174,530.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,865.79 : 623,837.97 = 116,346.42 : x
  2. Step 2: Convert to fraction form
    415,865.79/623,837.97 = 116,346.42/x
  3. Step 3: Cross multiply
    415,865.79x = 623,837.97 × 116,346.42
  4. Step 4: Simplify right side
    415,865.79x = 72,581,314,469.57
  5. Step 5: Solve for x
    x = 72,581,314,469.57/415,865.79
  6. Step 6: Final answer
    x = 174,530.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.