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Finding the Fourth Proportional to 297,946.96, 411,174.92 and 161,990.06

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Solution

The fourth proportional to 297,946.96, 411,174.92 and 161,990.06 is: 223,550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,946.96 : 411,174.92 = 161,990.06 : x
  2. Step 2: Convert to fraction form
    297,946.96/411,174.92 = 161,990.06/x
  3. Step 3: Cross multiply
    297,946.96x = 411,174.92 × 161,990.06
  4. Step 4: Simplify right side
    297,946.96x = 66,606,247,095.47
  5. Step 5: Solve for x
    x = 66,606,247,095.47/297,946.96
  6. Step 6: Final answer
    x = 223,550.69

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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.