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Finding the Fourth Proportional to 296,305.36, 408,911.16 and 162,169.36

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Solution

The fourth proportional to 296,305.36, 408,911.16 and 162,169.36 is: 223,799.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,305.36 : 408,911.16 = 162,169.36 : x
  2. Step 2: Convert to fraction form
    296,305.36/408,911.16 = 162,169.36/x
  3. Step 3: Cross multiply
    296,305.36x = 408,911.16 × 162,169.36
  4. Step 4: Simplify right side
    296,305.36x = 66,312,861,114.06
  5. Step 5: Solve for x
    x = 66,312,861,114.06/296,305.36
  6. Step 6: Final answer
    x = 223,799.06

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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.