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Finding the Fourth Proportional to 471,483.64, 650,647.31 and 256,625.16

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Solution

The fourth proportional to 471,483.64, 650,647.31 and 256,625.16 is: 354,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,483.64 : 650,647.31 = 256,625.16 : x
  2. Step 2: Convert to fraction form
    471,483.64/650,647.31 = 256,625.16/x
  3. Step 3: Cross multiply
    471,483.64x = 650,647.31 × 256,625.16
  4. Step 4: Simplify right side
    471,483.64x = 166,972,470,690.92
  5. Step 5: Solve for x
    x = 166,972,470,690.92/471,483.64
  6. Step 6: Final answer
    x = 354,142.66

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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.