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Finding the Fourth Proportional to 365,670.92, 504,599.82 and 212,733.20

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Solution

The fourth proportional to 365,670.92, 504,599.82 and 212,733.20 is: 293,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,670.92 : 504,599.82 = 212,733.20 : x
  2. Step 2: Convert to fraction form
    365,670.92/504,599.82 = 212,733.20/x
  3. Step 3: Cross multiply
    365,670.92x = 504,599.82 × 212,733.20
  4. Step 4: Simplify right side
    365,670.92x = 107,345,134,428.02
  5. Step 5: Solve for x
    x = 107,345,134,428.02/365,670.92
  6. Step 6: Final answer
    x = 293,556.66

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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.