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Finding the Fourth Proportional to 463,844.34, 694,216.22 and 264,111.12

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Solution

The fourth proportional to 463,844.34, 694,216.22 and 264,111.12 is: 395,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,844.34 : 694,216.22 = 264,111.12 : x
  2. Step 2: Convert to fraction form
    463,844.34/694,216.22 = 264,111.12/x
  3. Step 3: Cross multiply
    463,844.34x = 694,216.22 × 264,111.12
  4. Step 4: Simplify right side
    463,844.34x = 183,350,222,065.81
  5. Step 5: Solve for x
    x = 183,350,222,065.81/463,844.34
  6. Step 6: Final answer
    x = 395,283.95

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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.