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Finding the Fourth Proportional to 471,677.94, 650,927.22 and 256,829.76

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Solution

The fourth proportional to 471,677.94, 650,927.22 and 256,829.76 is: 354,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,677.94 : 650,927.22 = 256,829.76 : x
  2. Step 2: Convert to fraction form
    471,677.94/650,927.22 = 256,829.76/x
  3. Step 3: Cross multiply
    471,677.94x = 650,927.22 × 256,829.76
  4. Step 4: Simplify right side
    471,677.94x = 167,177,481,690.07
  5. Step 5: Solve for x
    x = 167,177,481,690.07/471,677.94
  6. Step 6: Final answer
    x = 354,431.42

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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.