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Finding the Fourth Proportional to 405,510.12, 559,594.04 and 224,217.27

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Solution

The fourth proportional to 405,510.12, 559,594.04 and 224,217.27 is: 309,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,510.12 : 559,594.04 = 224,217.27 : x
  2. Step 2: Convert to fraction form
    405,510.12/559,594.04 = 224,217.27/x
  3. Step 3: Cross multiply
    405,510.12x = 559,594.04 × 224,217.27
  4. Step 4: Simplify right side
    405,510.12x = 125,470,646,835.98
  5. Step 5: Solve for x
    x = 125,470,646,835.98/405,510.12
  6. Step 6: Final answer
    x = 309,414.34

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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.