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Finding the Fourth Proportional to 294,825.42, 406,855.71 and 167,498.28

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Solution

The fourth proportional to 294,825.42, 406,855.71 and 167,498.28 is: 231,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,825.42 : 406,855.71 = 167,498.28 : x
  2. Step 2: Convert to fraction form
    294,825.42/406,855.71 = 167,498.28/x
  3. Step 3: Cross multiply
    294,825.42x = 406,855.71 × 167,498.28
  4. Step 4: Simplify right side
    294,825.42x = 68,147,631,633.18
  5. Step 5: Solve for x
    x = 68,147,631,633.18/294,825.42
  6. Step 6: Final answer
    x = 231,145.71

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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.