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Finding the Fourth Proportional to 293,405.60, 440,108.40 and 188,429.60

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Solution

The fourth proportional to 293,405.60, 440,108.40 and 188,429.60 is: 282,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,405.60 : 440,108.40 = 188,429.60 : x
  2. Step 2: Convert to fraction form
    293,405.60/440,108.40 = 188,429.60/x
  3. Step 3: Cross multiply
    293,405.60x = 440,108.40 × 188,429.60
  4. Step 4: Simplify right side
    293,405.60x = 82,929,449,768.64
  5. Step 5: Solve for x
    x = 82,929,449,768.64/293,405.60
  6. Step 6: Final answer
    x = 282,644.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.