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Finding the Fourth Proportional to 467,666.82, 644,949.81 and 306,463.32

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Solution

The fourth proportional to 467,666.82, 644,949.81 and 306,463.32 is: 422,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,666.82 : 644,949.81 = 306,463.32 : x
  2. Step 2: Convert to fraction form
    467,666.82/644,949.81 = 306,463.32/x
  3. Step 3: Cross multiply
    467,666.82x = 644,949.81 × 306,463.32
  4. Step 4: Simplify right side
    467,666.82x = 197,653,460,005.97
  5. Step 5: Solve for x
    x = 197,653,460,005.97/467,666.82
  6. Step 6: Final answer
    x = 422,637.34

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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.