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Finding the Fourth Proportional to 306,226.09, 422,596.90 and 168,410.46

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Solution

The fourth proportional to 306,226.09, 422,596.90 and 168,410.46 is: 232,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,226.09 : 422,596.90 = 168,410.46 : x
  2. Step 2: Convert to fraction form
    306,226.09/422,596.90 = 168,410.46/x
  3. Step 3: Cross multiply
    306,226.09x = 422,596.90 × 168,410.46
  4. Step 4: Simplify right side
    306,226.09x = 71,169,738,323.57
  5. Step 5: Solve for x
    x = 71,169,738,323.57/306,226.09
  6. Step 6: Final answer
    x = 232,409.13

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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.