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Finding the Fourth Proportional to 297,411.08, 410,427.81 and 161,445.12

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Solution

The fourth proportional to 297,411.08, 410,427.81 and 161,445.12 is: 222,794.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,411.08 : 410,427.81 = 161,445.12 : x
  2. Step 2: Convert to fraction form
    297,411.08/410,427.81 = 161,445.12/x
  3. Step 3: Cross multiply
    297,411.08x = 410,427.81 × 161,445.12
  4. Step 4: Simplify right side
    297,411.08x = 66,261,567,036.79
  5. Step 5: Solve for x
    x = 66,261,567,036.79/297,411.08
  6. Step 6: Final answer
    x = 222,794.55

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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.