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Finding the Fourth Proportional to 301,964.58, 416,719.14 and 164,152.79

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Solution

The fourth proportional to 301,964.58, 416,719.14 and 164,152.79 is: 226,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,964.58 : 416,719.14 = 164,152.79 : x
  2. Step 2: Convert to fraction form
    301,964.58/416,719.14 = 164,152.79/x
  3. Step 3: Cross multiply
    301,964.58x = 416,719.14 × 164,152.79
  4. Step 4: Simplify right side
    301,964.58x = 68,405,609,477.40
  5. Step 5: Solve for x
    x = 68,405,609,477.40/301,964.58
  6. Step 6: Final answer
    x = 226,535.21

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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.