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Finding the Fourth Proportional to 300,393.77, 414,543.09 and 164,426.51

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Solution

The fourth proportional to 300,393.77, 414,543.09 and 164,426.51 is: 226,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,393.77 : 414,543.09 = 164,426.51 : x
  2. Step 2: Convert to fraction form
    300,393.77/414,543.09 = 164,426.51/x
  3. Step 3: Cross multiply
    300,393.77x = 414,543.09 × 164,426.51
  4. Step 4: Simplify right side
    300,393.77x = 68,161,873,533.32
  5. Step 5: Solve for x
    x = 68,161,873,533.32/300,393.77
  6. Step 6: Final answer
    x = 226,908.41

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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.