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Finding the Fourth Proportional to 405,446.60, 559,507.55 and 224,166.17

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Solution

The fourth proportional to 405,446.60, 559,507.55 and 224,166.17 is: 309,344.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,446.60 : 559,507.55 = 224,166.17 : x
  2. Step 2: Convert to fraction form
    405,446.60/559,507.55 = 224,166.17/x
  3. Step 3: Cross multiply
    405,446.60x = 559,507.55 × 224,166.17
  4. Step 4: Simplify right side
    405,446.60x = 125,422,660,651.22
  5. Step 5: Solve for x
    x = 125,422,660,651.22/405,446.60
  6. Step 6: Final answer
    x = 309,344.47

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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.