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Finding the Fourth Proportional to 343,295.78, 473,725.04 and 198,107.60

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Solution

The fourth proportional to 343,295.78, 473,725.04 and 198,107.60 is: 273,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,295.78 : 473,725.04 = 198,107.60 : x
  2. Step 2: Convert to fraction form
    343,295.78/473,725.04 = 198,107.60/x
  3. Step 3: Cross multiply
    343,295.78x = 473,725.04 × 198,107.60
  4. Step 4: Simplify right side
    343,295.78x = 93,848,532,156.50
  5. Step 5: Solve for x
    x = 93,848,532,156.50/343,295.78
  6. Step 6: Final answer
    x = 273,375.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.