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Finding the Fourth Proportional to 405,288.51, 559,302.29 and 221,532.33

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Solution

The fourth proportional to 405,288.51, 559,302.29 and 221,532.33 is: 305,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,288.51 : 559,302.29 = 221,532.33 : x
  2. Step 2: Convert to fraction form
    405,288.51/559,302.29 = 221,532.33/x
  3. Step 3: Cross multiply
    405,288.51x = 559,302.29 × 221,532.33
  4. Step 4: Simplify right side
    405,288.51x = 123,903,539,478.04
  5. Step 5: Solve for x
    x = 123,903,539,478.04/405,288.51
  6. Step 6: Final answer
    x = 305,716.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.