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Finding the Fourth Proportional to 301,974, 416,732.20 and 164,162.22

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Solution

The fourth proportional to 301,974, 416,732.20 and 164,162.22 is: 226,548.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,974 : 416,732.20 = 164,162.22 : x
  2. Step 2: Convert to fraction form
    301,974/416,732.20 = 164,162.22/x
  3. Step 3: Cross multiply
    301,974x = 416,732.20 × 164,162.22
  4. Step 4: Simplify right side
    301,974x = 68,411,683,097.48
  5. Step 5: Solve for x
    x = 68,411,683,097.48/301,974
  6. Step 6: Final answer
    x = 226,548.26

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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.