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Finding the Fourth Proportional to 471,642.75, 650,846.61 and 256,783.59

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Solution

The fourth proportional to 471,642.75, 650,846.61 and 256,783.59 is: 354,350.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,642.75 : 650,846.61 = 256,783.59 : x
  2. Step 2: Convert to fraction form
    471,642.75/650,846.61 = 256,783.59/x
  3. Step 3: Cross multiply
    471,642.75x = 650,846.61 × 256,783.59
  4. Step 4: Simplify right side
    471,642.75x = 167,126,729,055.13
  5. Step 5: Solve for x
    x = 167,126,729,055.13/471,642.75
  6. Step 6: Final answer
    x = 354,350.26

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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.