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Finding the Fourth Proportional to 469,141.88, 647,412.14 and 254,276.42

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Solution

The fourth proportional to 469,141.88, 647,412.14 and 254,276.42 is: 350,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,141.88 : 647,412.14 = 254,276.42 : x
  2. Step 2: Convert to fraction form
    469,141.88/647,412.14 = 254,276.42/x
  3. Step 3: Cross multiply
    469,141.88x = 647,412.14 × 254,276.42
  4. Step 4: Simplify right side
    469,141.88x = 164,621,638,622.37
  5. Step 5: Solve for x
    x = 164,621,638,622.37/469,141.88
  6. Step 6: Final answer
    x = 350,899.48

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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.