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Finding the Fourth Proportional to 294,732.84, 406,732.68 and 167,415.42

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Solution

The fourth proportional to 294,732.84, 406,732.68 and 167,415.42 is: 231,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,732.84 : 406,732.68 = 167,415.42 : x
  2. Step 2: Convert to fraction form
    294,732.84/406,732.68 = 167,415.42/x
  3. Step 3: Cross multiply
    294,732.84x = 406,732.68 × 167,415.42
  4. Step 4: Simplify right side
    294,732.84x = 68,093,322,449.93
  5. Step 5: Solve for x
    x = 68,093,322,449.93/294,732.84
  6. Step 6: Final answer
    x = 231,034.05

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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.