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Finding the Fourth Proportional to 237,753.63, 327,908.69 and 209,011.84

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Solution

The fourth proportional to 237,753.63, 327,908.69 and 209,011.84 is: 288,268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,753.63 : 327,908.69 = 209,011.84 : x
  2. Step 2: Convert to fraction form
    237,753.63/327,908.69 = 209,011.84/x
  3. Step 3: Cross multiply
    237,753.63x = 327,908.69 × 209,011.84
  4. Step 4: Simplify right side
    237,753.63x = 68,536,797,009.35
  5. Step 5: Solve for x
    x = 68,536,797,009.35/237,753.63
  6. Step 6: Final answer
    x = 288,268.14

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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.