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Finding the Fourth Proportional to 296,090.25, 408,614.40 and 161,954.25

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Solution

The fourth proportional to 296,090.25, 408,614.40 and 161,954.25 is: 223,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,090.25 : 408,614.40 = 161,954.25 : x
  2. Step 2: Convert to fraction form
    296,090.25/408,614.40 = 161,954.25/x
  3. Step 3: Cross multiply
    296,090.25x = 408,614.40 × 161,954.25
  4. Step 4: Simplify right side
    296,090.25x = 66,176,838,691.20
  5. Step 5: Solve for x
    x = 66,176,838,691.20/296,090.25
  6. Step 6: Final answer
    x = 223,502.26

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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.