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Finding the Fourth Proportional to 365,712.56, 504,480.11 and 212,733.54

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Solution

The fourth proportional to 365,712.56, 504,480.11 and 212,733.54 is: 293,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,712.56 : 504,480.11 = 212,733.54 : x
  2. Step 2: Convert to fraction form
    365,712.56/504,480.11 = 212,733.54/x
  3. Step 3: Cross multiply
    365,712.56x = 504,480.11 × 212,733.54
  4. Step 4: Simplify right side
    365,712.56x = 107,319,839,659.89
  5. Step 5: Solve for x
    x = 107,319,839,659.89/365,712.56
  6. Step 6: Final answer
    x = 293,454.07

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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.