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Finding the Fourth Proportional to 296,016.96, 408,495.04 and 161,878.08

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Solution

The fourth proportional to 296,016.96, 408,495.04 and 161,878.08 is: 223,387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,016.96 : 408,495.04 = 161,878.08 : x
  2. Step 2: Convert to fraction form
    296,016.96/408,495.04 = 161,878.08/x
  3. Step 3: Cross multiply
    296,016.96x = 408,495.04 × 161,878.08
  4. Step 4: Simplify right side
    296,016.96x = 66,126,392,764.72
  5. Step 5: Solve for x
    x = 66,126,392,764.72/296,016.96
  6. Step 6: Final answer
    x = 223,387.18

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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.