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Finding the Fourth Proportional to 294,232.82, 406,029.32 and 166,905.68

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Solution

The fourth proportional to 294,232.82, 406,029.32 and 166,905.68 is: 230,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,232.82 : 406,029.32 = 166,905.68 : x
  2. Step 2: Convert to fraction form
    294,232.82/406,029.32 = 166,905.68/x
  3. Step 3: Cross multiply
    294,232.82x = 406,029.32 × 166,905.68
  4. Step 4: Simplify right side
    294,232.82x = 67,768,596,889.86
  5. Step 5: Solve for x
    x = 67,768,596,889.86/294,232.82
  6. Step 6: Final answer
    x = 230,323.04

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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.