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Finding the Fourth Proportional to 309,504.42, 464,237.52 and 109,798.50

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Solution

The fourth proportional to 309,504.42, 464,237.52 and 109,798.50 is: 164,690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,504.42 : 464,237.52 = 109,798.50 : x
  2. Step 2: Convert to fraction form
    309,504.42/464,237.52 = 109,798.50/x
  3. Step 3: Cross multiply
    309,504.42x = 464,237.52 × 109,798.50
  4. Step 4: Simplify right side
    309,504.42x = 50,972,583,339.72
  5. Step 5: Solve for x
    x = 50,972,583,339.72/309,504.42
  6. Step 6: Final answer
    x = 164,690.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.