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Finding the Fourth Proportional to 469,054.64, 647,292.66 and 254,194.58

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Solution

The fourth proportional to 469,054.64, 647,292.66 and 254,194.58 is: 350,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,054.64 : 647,292.66 = 254,194.58 : x
  2. Step 2: Convert to fraction form
    469,054.64/647,292.66 = 254,194.58/x
  3. Step 3: Cross multiply
    469,054.64x = 647,292.66 × 254,194.58
  4. Step 4: Simplify right side
    469,054.64x = 164,538,285,845.78
  5. Step 5: Solve for x
    x = 164,538,285,845.78/469,054.64
  6. Step 6: Final answer
    x = 350,787.03

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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.