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Finding the Fourth Proportional to 307,086.12, 460,763.04 and 107,549.64

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Solution

The fourth proportional to 307,086.12, 460,763.04 and 107,549.64 is: 161,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,086.12 : 460,763.04 = 107,549.64 : x
  2. Step 2: Convert to fraction form
    307,086.12/460,763.04 = 107,549.64/x
  3. Step 3: Cross multiply
    307,086.12x = 460,763.04 × 107,549.64
  4. Step 4: Simplify right side
    307,086.12x = 49,554,899,077.31
  5. Step 5: Solve for x
    x = 49,554,899,077.31/307,086.12
  6. Step 6: Final answer
    x = 161,371.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.