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Finding the Fourth Proportional to 405,298.06, 559,340.28 and 224,006.09

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Solution

The fourth proportional to 405,298.06, 559,340.28 and 224,006.09 is: 309,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,298.06 : 559,340.28 = 224,006.09 : x
  2. Step 2: Convert to fraction form
    405,298.06/559,340.28 = 224,006.09/x
  3. Step 3: Cross multiply
    405,298.06x = 559,340.28 × 224,006.09
  4. Step 4: Simplify right side
    405,298.06x = 125,295,629,102.31
  5. Step 5: Solve for x
    x = 125,295,629,102.31/405,298.06
  6. Step 6: Final answer
    x = 309,144.41

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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.