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Finding the Fourth Proportional to 467,097.02, 644,698.80 and 305,858.42

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Solution

The fourth proportional to 467,097.02, 644,698.80 and 305,858.42 is: 422,153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,097.02 : 644,698.80 = 305,858.42 : x
  2. Step 2: Convert to fraction form
    467,097.02/644,698.80 = 305,858.42/x
  3. Step 3: Cross multiply
    467,097.02x = 644,698.80 × 305,858.42
  4. Step 4: Simplify right side
    467,097.02x = 197,186,553,120.40
  5. Step 5: Solve for x
    x = 197,186,553,120.40/467,097.02
  6. Step 6: Final answer
    x = 422,153.31

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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.