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Finding the Fourth Proportional to 307,059.11, 460,525.13 and 82,366.12

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Solution

The fourth proportional to 307,059.11, 460,525.13 and 82,366.12 is: 123,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,059.11 : 460,525.13 = 82,366.12 : x
  2. Step 2: Convert to fraction form
    307,059.11/460,525.13 = 82,366.12/x
  3. Step 3: Cross multiply
    307,059.11x = 460,525.13 × 82,366.12
  4. Step 4: Simplify right side
    307,059.11x = 37,931,668,120.60
  5. Step 5: Solve for x
    x = 37,931,668,120.60/307,059.11
  6. Step 6: Final answer
    x = 123,532.14

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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.