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Finding the Fourth Proportional to 294,546.61, 406,474.71 and 167,222.21

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Solution

The fourth proportional to 294,546.61, 406,474.71 and 167,222.21 is: 230,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,546.61 : 406,474.71 = 167,222.21 : x
  2. Step 2: Convert to fraction form
    294,546.61/406,474.71 = 167,222.21/x
  3. Step 3: Cross multiply
    294,546.61x = 406,474.71 × 167,222.21
  4. Step 4: Simplify right side
    294,546.61x = 67,971,597,613.65
  5. Step 5: Solve for x
    x = 67,971,597,613.65/294,546.61
  6. Step 6: Final answer
    x = 230,766.86

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1.5x scale

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.