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Finding the Fourth Proportional to 293,612.60, 440,435.64 and 83,234

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Solution

The fourth proportional to 293,612.60, 440,435.64 and 83,234 is: 124,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,612.60 : 440,435.64 = 83,234 : x
  2. Step 2: Convert to fraction form
    293,612.60/440,435.64 = 83,234/x
  3. Step 3: Cross multiply
    293,612.60x = 440,435.64 × 83,234
  4. Step 4: Simplify right side
    293,612.60x = 36,659,220,059.76
  5. Step 5: Solve for x
    x = 36,659,220,059.76/293,612.60
  6. Step 6: Final answer
    x = 124,855.75

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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.