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Finding the Fourth Proportional to 294,096.64, 405,895.44 and 165,048.88

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Solution

The fourth proportional to 294,096.64, 405,895.44 and 165,048.88 is: 227,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,096.64 : 405,895.44 = 165,048.88 : x
  2. Step 2: Convert to fraction form
    294,096.64/405,895.44 = 165,048.88/x
  3. Step 3: Cross multiply
    294,096.64x = 405,895.44 × 165,048.88
  4. Step 4: Simplify right side
    294,096.64x = 66,992,587,769.11
  5. Step 5: Solve for x
    x = 66,992,587,769.11/294,096.64
  6. Step 6: Final answer
    x = 227,791.07

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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.