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Finding the Fourth Proportional to 293,608.60, 440,429.64 and 83,230

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Solution

The fourth proportional to 293,608.60, 440,429.64 and 83,230 is: 124,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,608.60 : 440,429.64 = 83,230 : x
  2. Step 2: Convert to fraction form
    293,608.60/440,429.64 = 83,230/x
  3. Step 3: Cross multiply
    293,608.60x = 440,429.64 × 83,230
  4. Step 4: Simplify right side
    293,608.60x = 36,656,958,937.20
  5. Step 5: Solve for x
    x = 36,656,958,937.20/293,608.60
  6. Step 6: Final answer
    x = 124,849.75

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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.