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Finding the Fourth Proportional to 300,708.16, 414,966.38 and 171,653.30

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Solution

The fourth proportional to 300,708.16, 414,966.38 and 171,653.30 is: 236,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,708.16 : 414,966.38 = 171,653.30 : x
  2. Step 2: Convert to fraction form
    300,708.16/414,966.38 = 171,653.30/x
  3. Step 3: Cross multiply
    300,708.16x = 414,966.38 × 171,653.30
  4. Step 4: Simplify right side
    300,708.16x = 71,230,348,516.05
  5. Step 5: Solve for x
    x = 71,230,348,516.05/300,708.16
  6. Step 6: Final answer
    x = 236,875.34

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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.