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Finding the Fourth Proportional to 306,065.08, 422,368.22 and 168,247.23

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Solution

The fourth proportional to 306,065.08, 422,368.22 and 168,247.23 is: 232,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,065.08 : 422,368.22 = 168,247.23 : x
  2. Step 2: Convert to fraction form
    306,065.08/422,368.22 = 168,247.23/x
  3. Step 3: Cross multiply
    306,065.08x = 422,368.22 × 168,247.23
  4. Step 4: Simplify right side
    306,065.08x = 71,062,281,891.77
  5. Step 5: Solve for x
    x = 71,062,281,891.77/306,065.08
  6. Step 6: Final answer
    x = 232,180.30

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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.