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Finding the Fourth Proportional to 299,079.72, 412,727.94 and 164,943.72

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Solution

The fourth proportional to 299,079.72, 412,727.94 and 164,943.72 is: 227,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,079.72 : 412,727.94 = 164,943.72 : x
  2. Step 2: Convert to fraction form
    299,079.72/412,727.94 = 164,943.72/x
  3. Step 3: Cross multiply
    299,079.72x = 412,727.94 × 164,943.72
  4. Step 4: Simplify right side
    299,079.72x = 68,076,881,771.54
  5. Step 5: Solve for x
    x = 68,076,881,771.54/299,079.72
  6. Step 6: Final answer
    x = 227,621.19

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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.