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Finding the Fourth Proportional to 298,589.93, 448,077.58 and 109,034.43

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Solution

The fourth proportional to 298,589.93, 448,077.58 and 109,034.43 is: 163,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,589.93 : 448,077.58 = 109,034.43 : x
  2. Step 2: Convert to fraction form
    298,589.93/448,077.58 = 109,034.43/x
  3. Step 3: Cross multiply
    298,589.93x = 448,077.58 × 109,034.43
  4. Step 4: Simplify right side
    298,589.93x = 48,855,880,745.52
  5. Step 5: Solve for x
    x = 48,855,880,745.52/298,589.93
  6. Step 6: Final answer
    x = 163,622.00

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Why These Related Problems?

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