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Finding the Fourth Proportional to 417,499.88, 576,142.60 and 254,097.24

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Solution

The fourth proportional to 417,499.88, 576,142.60 and 254,097.24 is: 350,649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,499.88 : 576,142.60 = 254,097.24 : x
  2. Step 2: Convert to fraction form
    417,499.88/576,142.60 = 254,097.24/x
  3. Step 3: Cross multiply
    417,499.88x = 576,142.60 × 254,097.24
  4. Step 4: Simplify right side
    417,499.88x = 146,396,244,506.42
  5. Step 5: Solve for x
    x = 146,396,244,506.42/417,499.88
  6. Step 6: Final answer
    x = 350,649.79

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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.