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Finding the Fourth Proportional to 294,794.72, 406,827.60 and 167,491.88

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Solution

The fourth proportional to 294,794.72, 406,827.60 and 167,491.88 is: 231,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,794.72 : 406,827.60 = 167,491.88 : x
  2. Step 2: Convert to fraction form
    294,794.72/406,827.60 = 167,491.88/x
  3. Step 3: Cross multiply
    294,794.72x = 406,827.60 × 167,491.88
  4. Step 4: Simplify right side
    294,794.72x = 68,140,319,559.89
  5. Step 5: Solve for x
    x = 68,140,319,559.89/294,794.72
  6. Step 6: Final answer
    x = 231,144.98

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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.