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Finding the Fourth Proportional to 297,298.09, 410,269.29 and 161,328.58

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Solution

The fourth proportional to 297,298.09, 410,269.29 and 161,328.58 is: 222,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,298.09 : 410,269.29 = 161,328.58 : x
  2. Step 2: Convert to fraction form
    297,298.09/410,269.29 = 161,328.58/x
  3. Step 3: Cross multiply
    297,298.09x = 410,269.29 × 161,328.58
  4. Step 4: Simplify right side
    297,298.09x = 66,188,161,973.31
  5. Step 5: Solve for x
    x = 66,188,161,973.31/297,298.09
  6. Step 6: Final answer
    x = 222,632.31

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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.