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Finding the Fourth Proportional to 405,405.08, 559,455.36 and 224,121.62

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Solution

The fourth proportional to 405,405.08, 559,455.36 and 224,121.62 is: 309,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,405.08 : 559,455.36 = 224,121.62 : x
  2. Step 2: Convert to fraction form
    405,405.08/559,455.36 = 224,121.62/x
  3. Step 3: Cross multiply
    405,405.08x = 559,455.36 × 224,121.62
  4. Step 4: Simplify right side
    405,405.08x = 125,386,041,600.88
  5. Step 5: Solve for x
    x = 125,386,041,600.88/405,405.08
  6. Step 6: Final answer
    x = 309,285.82

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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.