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Finding the Fourth Proportional to 415,826.26, 623,806.65 and 162,969.57

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Solution

The fourth proportional to 415,826.26, 623,806.65 and 162,969.57 is: 244,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,826.26 : 623,806.65 = 162,969.57 : x
  2. Step 2: Convert to fraction form
    415,826.26/623,806.65 = 162,969.57/x
  3. Step 3: Cross multiply
    415,826.26x = 623,806.65 × 162,969.57
  4. Step 4: Simplify right side
    415,826.26x = 101,661,501,513.64
  5. Step 5: Solve for x
    x = 101,661,501,513.64/415,826.26
  6. Step 6: Final answer
    x = 244,480.72

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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.