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Finding the Fourth Proportional to 365,710.64, 504,477.52 and 212,731.61

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Solution

The fourth proportional to 365,710.64, 504,477.52 and 212,731.61 is: 293,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,710.64 : 504,477.52 = 212,731.61 : x
  2. Step 2: Convert to fraction form
    365,710.64/504,477.52 = 212,731.61/x
  3. Step 3: Cross multiply
    365,710.64x = 504,477.52 × 212,731.61
  4. Step 4: Simplify right side
    365,710.64x = 107,318,311,984.19
  5. Step 5: Solve for x
    x = 107,318,311,984.19/365,710.64
  6. Step 6: Final answer
    x = 293,451.44

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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.