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Finding the Fourth Proportional to 311,934.55, 467,984.71 and 98,706.25

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Solution

The fourth proportional to 311,934.55, 467,984.71 and 98,706.25 is: 148,085.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,934.55 : 467,984.71 = 98,706.25 : x
  2. Step 2: Convert to fraction form
    311,934.55/467,984.71 = 98,706.25/x
  3. Step 3: Cross multiply
    311,934.55x = 467,984.71 × 98,706.25
  4. Step 4: Simplify right side
    311,934.55x = 46,193,015,781.44
  5. Step 5: Solve for x
    x = 46,193,015,781.44/311,934.55
  6. Step 6: Final answer
    x = 148,085.60

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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.