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Finding the Fourth Proportional to 294,807.72, 406,845.54 and 167,504.88

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Solution

The fourth proportional to 294,807.72, 406,845.54 and 167,504.88 is: 231,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,807.72 : 406,845.54 = 167,504.88 : x
  2. Step 2: Convert to fraction form
    294,807.72/406,845.54 = 167,504.88/x
  3. Step 3: Cross multiply
    294,807.72x = 406,845.54 × 167,504.88
  4. Step 4: Simplify right side
    294,807.72x = 68,148,613,356.24
  5. Step 5: Solve for x
    x = 68,148,613,356.24/294,807.72
  6. Step 6: Final answer
    x = 231,162.92

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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.