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Finding the Fourth Proportional to 300,658.97, 414,894.62 and 164,693.51

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Solution

The fourth proportional to 300,658.97, 414,894.62 and 164,693.51 is: 227,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,658.97 : 414,894.62 = 164,693.51 : x
  2. Step 2: Convert to fraction form
    300,658.97/414,894.62 = 164,693.51/x
  3. Step 3: Cross multiply
    300,658.97x = 414,894.62 × 164,693.51
  4. Step 4: Simplify right side
    300,658.97x = 68,330,448,349.98
  5. Step 5: Solve for x
    x = 68,330,448,349.98/300,658.97
  6. Step 6: Final answer
    x = 227,268.95

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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.