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Finding the Fourth Proportional to 405,122.08, 559,074.32 and 223,838.20

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Solution

The fourth proportional to 405,122.08, 559,074.32 and 223,838.20 is: 308,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,122.08 : 559,074.32 = 223,838.20 : x
  2. Step 2: Convert to fraction form
    405,122.08/559,074.32 = 223,838.20/x
  3. Step 3: Cross multiply
    405,122.08x = 559,074.32 × 223,838.20
  4. Step 4: Simplify right side
    405,122.08x = 125,142,189,455.02
  5. Step 5: Solve for x
    x = 125,142,189,455.02/405,122.08
  6. Step 6: Final answer
    x = 308,899.95

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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.