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Finding the Fourth Proportional to 294,842.64, 406,882.96 and 167,518.40

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Solution

The fourth proportional to 294,842.64, 406,882.96 and 167,518.40 is: 231,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,842.64 : 406,882.96 = 167,518.40 : x
  2. Step 2: Convert to fraction form
    294,842.64/406,882.96 = 167,518.40/x
  3. Step 3: Cross multiply
    294,842.64x = 406,882.96 × 167,518.40
  4. Step 4: Simplify right side
    294,842.64x = 68,160,382,446.46
  5. Step 5: Solve for x
    x = 68,160,382,446.46/294,842.64
  6. Step 6: Final answer
    x = 231,175.46

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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.