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Finding the Fourth Proportional to 293,957.25, 405,734.46 and 180,714.39

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Solution

The fourth proportional to 293,957.25, 405,734.46 and 180,714.39 is: 249,431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,957.25 : 405,734.46 = 180,714.39 : x
  2. Step 2: Convert to fraction form
    293,957.25/405,734.46 = 180,714.39/x
  3. Step 3: Cross multiply
    293,957.25x = 405,734.46 × 180,714.39
  4. Step 4: Simplify right side
    293,957.25x = 73,322,055,440.88
  5. Step 5: Solve for x
    x = 73,322,055,440.88/293,957.25
  6. Step 6: Final answer
    x = 249,431.02

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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.