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Finding the Fourth Proportional to 273,908.80, 410,830.80 and 74,216.80

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Solution

The fourth proportional to 273,908.80, 410,830.80 and 74,216.80 is: 111,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,908.80 : 410,830.80 = 74,216.80 : x
  2. Step 2: Convert to fraction form
    273,908.80/410,830.80 = 74,216.80/x
  3. Step 3: Cross multiply
    273,908.80x = 410,830.80 × 74,216.80
  4. Step 4: Simplify right side
    273,908.80x = 30,490,547,317.44
  5. Step 5: Solve for x
    x = 30,490,547,317.44/273,908.80
  6. Step 6: Final answer
    x = 111,316.42

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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.