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Finding the Fourth Proportional to 417,570.12, 576,796.14 and 320,183.01

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Solution

The fourth proportional to 417,570.12, 576,796.14 and 320,183.01 is: 442,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,570.12 : 576,796.14 = 320,183.01 : x
  2. Step 2: Convert to fraction form
    417,570.12/576,796.14 = 320,183.01/x
  3. Step 3: Cross multiply
    417,570.12x = 576,796.14 × 320,183.01
  4. Step 4: Simplify right side
    417,570.12x = 184,680,324,261.58
  5. Step 5: Solve for x
    x = 184,680,324,261.58/417,570.12
  6. Step 6: Final answer
    x = 442,273.80

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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.