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Finding the Fourth Proportional to 463,852.37, 694,597.28 and 305,601.05

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Solution

The fourth proportional to 463,852.37, 694,597.28 and 305,601.05 is: 457,623.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,852.37 : 694,597.28 = 305,601.05 : x
  2. Step 2: Convert to fraction form
    463,852.37/694,597.28 = 305,601.05/x
  3. Step 3: Cross multiply
    463,852.37x = 694,597.28 × 305,601.05
  4. Step 4: Simplify right side
    463,852.37x = 212,269,658,303.63
  5. Step 5: Solve for x
    x = 212,269,658,303.63/463,852.37
  6. Step 6: Final answer
    x = 457,623.31

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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.