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Finding the Fourth Proportional to 471,814.26, 651,083.40 and 256,954.86

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Solution

The fourth proportional to 471,814.26, 651,083.40 and 256,954.86 is: 354,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,814.26 : 651,083.40 = 256,954.86 : x
  2. Step 2: Convert to fraction form
    471,814.26/651,083.40 = 256,954.86/x
  3. Step 3: Cross multiply
    471,814.26x = 651,083.40 × 256,954.86
  4. Step 4: Simplify right side
    471,814.26x = 167,299,043,895.32
  5. Step 5: Solve for x
    x = 167,299,043,895.32/471,814.26
  6. Step 6: Final answer
    x = 354,586.66

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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.