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Finding the Fourth Proportional to 309,612.30, 464,418.85 and 84,975.81

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Solution

The fourth proportional to 309,612.30, 464,418.85 and 84,975.81 is: 127,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,612.30 : 464,418.85 = 84,975.81 : x
  2. Step 2: Convert to fraction form
    309,612.30/464,418.85 = 84,975.81/x
  3. Step 3: Cross multiply
    309,612.30x = 464,418.85 × 84,975.81
  4. Step 4: Simplify right side
    309,612.30x = 39,464,367,958.02
  5. Step 5: Solve for x
    x = 39,464,367,958.02/309,612.30
  6. Step 6: Final answer
    x = 127,463.82

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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.