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Finding the Fourth Proportional to 300,666.09, 414,918.81 and 164,708.40

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Solution

The fourth proportional to 300,666.09, 414,918.81 and 164,708.40 is: 227,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,666.09 : 414,918.81 = 164,708.40 : x
  2. Step 2: Convert to fraction form
    300,666.09/414,918.81 = 164,708.40/x
  3. Step 3: Cross multiply
    300,666.09x = 414,918.81 × 164,708.40
  4. Step 4: Simplify right side
    300,666.09x = 68,340,613,325.00
  5. Step 5: Solve for x
    x = 68,340,613,325.00/300,666.09
  6. Step 6: Final answer
    x = 227,297.38

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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.