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Finding the Fourth Proportional to 301,963.58, 416,717.76 and 164,151.79

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Solution

The fourth proportional to 301,963.58, 416,717.76 and 164,151.79 is: 226,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,963.58 : 416,717.76 = 164,151.79 : x
  2. Step 2: Convert to fraction form
    301,963.58/416,717.76 = 164,151.79/x
  3. Step 3: Cross multiply
    301,963.58x = 416,717.76 × 164,151.79
  4. Step 4: Simplify right side
    301,963.58x = 68,404,965,802.57
  5. Step 5: Solve for x
    x = 68,404,965,802.57/301,963.58
  6. Step 6: Final answer
    x = 226,533.83

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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.