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Finding the Fourth Proportional to 335,514, 463,012.56 and 184,614.24

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Solution

The fourth proportional to 335,514, 463,012.56 and 184,614.24 is: 254,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,514 : 463,012.56 = 184,614.24 : x
  2. Step 2: Convert to fraction form
    335,514/463,012.56 = 184,614.24/x
  3. Step 3: Cross multiply
    335,514x = 463,012.56 × 184,614.24
  4. Step 4: Simplify right side
    335,514x = 85,478,711,874.85
  5. Step 5: Solve for x
    x = 85,478,711,874.85/335,514
  6. Step 6: Final answer
    x = 254,769.43

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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.