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Finding the Fourth Proportional to 300,505.64, 414,684.96 and 164,537.12

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Solution

The fourth proportional to 300,505.64, 414,684.96 and 164,537.12 is: 227,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,505.64 : 414,684.96 = 164,537.12 : x
  2. Step 2: Convert to fraction form
    300,505.64/414,684.96 = 164,537.12/x
  3. Step 3: Cross multiply
    300,505.64x = 414,684.96 × 164,537.12
  4. Step 4: Simplify right side
    300,505.64x = 68,231,069,025.72
  5. Step 5: Solve for x
    x = 68,231,069,025.72/300,505.64
  6. Step 6: Final answer
    x = 227,054.20

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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.