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Finding the Fourth Proportional to 405,371.61, 559,395.38 and 221,606.68

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Solution

The fourth proportional to 405,371.61, 559,395.38 and 221,606.68 is: 305,807.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,371.61 : 559,395.38 = 221,606.68 : x
  2. Step 2: Convert to fraction form
    405,371.61/559,395.38 = 221,606.68/x
  3. Step 3: Cross multiply
    405,371.61x = 559,395.38 × 221,606.68
  4. Step 4: Simplify right side
    405,371.61x = 123,965,752,969.14
  5. Step 5: Solve for x
    x = 123,965,752,969.14/405,371.61
  6. Step 6: Final answer
    x = 305,807.68

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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.