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Finding the Fourth Proportional to 311,784.96, 467,694.14 and 98,536.65

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Solution

The fourth proportional to 311,784.96, 467,694.14 and 98,536.65 is: 147,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,784.96 : 467,694.14 = 98,536.65 : x
  2. Step 2: Convert to fraction form
    311,784.96/467,694.14 = 98,536.65/x
  3. Step 3: Cross multiply
    311,784.96x = 467,694.14 × 98,536.65
  4. Step 4: Simplify right side
    311,784.96x = 46,085,014,268.40
  5. Step 5: Solve for x
    x = 46,085,014,268.40/311,784.96
  6. Step 6: Final answer
    x = 147,810.26

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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.