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Finding the Fourth Proportional to 300,710.54, 414,965.82 and 164,745.16

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Solution

The fourth proportional to 300,710.54, 414,965.82 and 164,745.16 is: 227,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,710.54 : 414,965.82 = 164,745.16 : x
  2. Step 2: Convert to fraction form
    300,710.54/414,965.82 = 164,745.16/x
  3. Step 3: Cross multiply
    300,710.54x = 414,965.82 × 164,745.16
  4. Step 4: Simplify right side
    300,710.54x = 68,363,610,410.43
  5. Step 5: Solve for x
    x = 68,363,610,410.43/300,710.54
  6. Step 6: Final answer
    x = 227,340.25

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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.