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Finding the Fourth Proportional to 471,592.12, 650,805.44 and 256,738.36

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Solution

The fourth proportional to 471,592.12, 650,805.44 and 256,738.36 is: 354,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,592.12 : 650,805.44 = 256,738.36 : x
  2. Step 2: Convert to fraction form
    471,592.12/650,805.44 = 256,738.36/x
  3. Step 3: Cross multiply
    471,592.12x = 650,805.44 × 256,738.36
  4. Step 4: Simplify right side
    471,592.12x = 167,086,721,344.68
  5. Step 5: Solve for x
    x = 167,086,721,344.68/471,592.12
  6. Step 6: Final answer
    x = 354,303.46

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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.