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Finding the Fourth Proportional to 405,510.27, 559,555.33 and 224,197.71

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Solution

The fourth proportional to 405,510.27, 559,555.33 and 224,197.71 is: 309,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,510.27 : 559,555.33 = 224,197.71 : x
  2. Step 2: Convert to fraction form
    405,510.27/559,555.33 = 224,197.71/x
  3. Step 3: Cross multiply
    405,510.27x = 559,555.33 × 224,197.71
  4. Step 4: Simplify right side
    405,510.27x = 125,451,023,604.29
  5. Step 5: Solve for x
    x = 125,451,023,604.29/405,510.27
  6. Step 6: Final answer
    x = 309,365.84

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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.