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Finding the Fourth Proportional to 415,916.24, 623,809.08 and 135,431.12

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Solution

The fourth proportional to 415,916.24, 623,809.08 and 135,431.12 is: 203,125.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,916.24 : 623,809.08 = 135,431.12 : x
  2. Step 2: Convert to fraction form
    415,916.24/623,809.08 = 135,431.12/x
  3. Step 3: Cross multiply
    415,916.24x = 623,809.08 × 135,431.12
  4. Step 4: Simplify right side
    415,916.24x = 84,483,162,370.57
  5. Step 5: Solve for x
    x = 84,483,162,370.57/415,916.24
  6. Step 6: Final answer
    x = 203,125.42

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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.