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Finding the Fourth Proportional to 294,707.23, 406,690.46 and 163,892.90

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Solution

The fourth proportional to 294,707.23, 406,690.46 and 163,892.90 is: 226,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,707.23 : 406,690.46 = 163,892.90 : x
  2. Step 2: Convert to fraction form
    294,707.23/406,690.46 = 163,892.90/x
  3. Step 3: Cross multiply
    294,707.23x = 406,690.46 × 163,892.90
  4. Step 4: Simplify right side
    294,707.23x = 66,653,678,891.73
  5. Step 5: Solve for x
    x = 66,653,678,891.73/294,707.23
  6. Step 6: Final answer
    x = 226,169.14

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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.