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Finding the Fourth Proportional to 294,402.54, 406,269.06 and 171,915.96

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Solution

The fourth proportional to 294,402.54, 406,269.06 and 171,915.96 is: 237,240.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,402.54 : 406,269.06 = 171,915.96 : x
  2. Step 2: Convert to fraction form
    294,402.54/406,269.06 = 171,915.96/x
  3. Step 3: Cross multiply
    294,402.54x = 406,269.06 × 171,915.96
  4. Step 4: Simplify right side
    294,402.54x = 69,844,135,468.20
  5. Step 5: Solve for x
    x = 69,844,135,468.20/294,402.54
  6. Step 6: Final answer
    x = 237,240.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.