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Finding the Fourth Proportional to 297,415.32, 410,440.62 and 161,449.31

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Solution

The fourth proportional to 297,415.32, 410,440.62 and 161,449.31 is: 222,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,415.32 : 410,440.62 = 161,449.31 : x
  2. Step 2: Convert to fraction form
    297,415.32/410,440.62 = 161,449.31/x
  3. Step 3: Cross multiply
    297,415.32x = 410,440.62 × 161,449.31
  4. Step 4: Simplify right side
    297,415.32x = 66,265,352,842.77
  5. Step 5: Solve for x
    x = 66,265,352,842.77/297,415.32
  6. Step 6: Final answer
    x = 222,804.10

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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.