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Finding the Fourth Proportional to 294,449.76, 406,352.88 and 167,137.20

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Solution

The fourth proportional to 294,449.76, 406,352.88 and 167,137.20 is: 230,656.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,449.76 : 406,352.88 = 167,137.20 : x
  2. Step 2: Convert to fraction form
    294,449.76/406,352.88 = 167,137.20/x
  3. Step 3: Cross multiply
    294,449.76x = 406,352.88 × 167,137.20
  4. Step 4: Simplify right side
    294,449.76x = 67,916,682,575.14
  5. Step 5: Solve for x
    x = 67,916,682,575.14/294,449.76
  6. Step 6: Final answer
    x = 230,656.27

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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.