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Finding the Fourth Proportional to 297,473.84, 410,516.96 and 161,509.04

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Solution

The fourth proportional to 297,473.84, 410,516.96 and 161,509.04 is: 222,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,473.84 : 410,516.96 = 161,509.04 : x
  2. Step 2: Convert to fraction form
    297,473.84/410,516.96 = 161,509.04/x
  3. Step 3: Cross multiply
    297,473.84x = 410,516.96 × 161,509.04
  4. Step 4: Simplify right side
    297,473.84x = 66,302,200,113.32
  5. Step 5: Solve for x
    x = 66,302,200,113.32/297,473.84
  6. Step 6: Final answer
    x = 222,884.14

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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.