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Finding the Fourth Proportional to 471,281.94, 650,349.60 and 256,422.84

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Solution

The fourth proportional to 471,281.94, 650,349.60 and 256,422.84 is: 353,852.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,281.94 : 650,349.60 = 256,422.84 : x
  2. Step 2: Convert to fraction form
    471,281.94/650,349.60 = 256,422.84/x
  3. Step 3: Cross multiply
    471,281.94x = 650,349.60 × 256,422.84
  4. Step 4: Simplify right side
    471,281.94x = 166,764,491,424.86
  5. Step 5: Solve for x
    x = 166,764,491,424.86/471,281.94
  6. Step 6: Final answer
    x = 353,852.92

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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.