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Finding the Fourth Proportional to 405,441.73, 559,521.26 and 224,165.36

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Solution

The fourth proportional to 405,441.73, 559,521.26 and 224,165.36 is: 309,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,441.73 : 559,521.26 = 224,165.36 : x
  2. Step 2: Convert to fraction form
    405,441.73/559,521.26 = 224,165.36/x
  3. Step 3: Cross multiply
    405,441.73x = 559,521.26 × 224,165.36
  4. Step 4: Simplify right side
    405,441.73x = 125,425,283,276.75
  5. Step 5: Solve for x
    x = 125,425,283,276.75/405,441.73
  6. Step 6: Final answer
    x = 309,354.65

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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.