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Finding the Fourth Proportional to 300,627.41, 414,865.88 and 164,666.23

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Solution

The fourth proportional to 300,627.41, 414,865.88 and 164,666.23 is: 227,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,627.41 : 414,865.88 = 164,666.23 : x
  2. Step 2: Convert to fraction form
    300,627.41/414,865.88 = 164,666.23/x
  3. Step 3: Cross multiply
    300,627.41x = 414,865.88 × 164,666.23
  4. Step 4: Simplify right side
    300,627.41x = 68,314,398,554.74
  5. Step 5: Solve for x
    x = 68,314,398,554.74/300,627.41
  6. Step 6: Final answer
    x = 227,239.42

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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.