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Finding the Fourth Proportional to 300,701.22, 414,968.19 and 164,732.19

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Solution

The fourth proportional to 300,701.22, 414,968.19 and 164,732.19 is: 227,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,701.22 : 414,968.19 = 164,732.19 : x
  2. Step 2: Convert to fraction form
    300,701.22/414,968.19 = 164,732.19/x
  3. Step 3: Cross multiply
    300,701.22x = 414,968.19 × 164,732.19
  4. Step 4: Simplify right side
    300,701.22x = 68,358,618,719.04
  5. Step 5: Solve for x
    x = 68,358,618,719.04/300,701.22
  6. Step 6: Final answer
    x = 227,330.70

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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.