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Finding the Fourth Proportional to 471,466.66, 650,622 and 256,606.96

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Solution

The fourth proportional to 471,466.66, 650,622 and 256,606.96 is: 354,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,466.66 : 650,622 = 256,606.96 : x
  2. Step 2: Convert to fraction form
    471,466.66/650,622 = 256,606.96/x
  3. Step 3: Cross multiply
    471,466.66x = 650,622 × 256,606.96
  4. Step 4: Simplify right side
    471,466.66x = 166,954,133,529.12
  5. Step 5: Solve for x
    x = 166,954,133,529.12/471,466.66
  6. Step 6: Final answer
    x = 354,116.52

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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.