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Finding the Fourth Proportional to 300,711.35, 414,966.85 and 164,745.97

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Solution

The fourth proportional to 300,711.35, 414,966.85 and 164,745.97 is: 227,341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,711.35 : 414,966.85 = 164,745.97 : x
  2. Step 2: Convert to fraction form
    300,711.35/414,966.85 = 164,745.97/x
  3. Step 3: Cross multiply
    300,711.35x = 414,966.85 × 164,745.97
  4. Step 4: Simplify right side
    300,711.35x = 68,364,114,771.81
  5. Step 5: Solve for x
    x = 68,364,114,771.81/300,711.35
  6. Step 6: Final answer
    x = 227,341.32

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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.