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Finding the Fourth Proportional to 354,734.53, 489,544.46 and 201,794.89

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Solution

The fourth proportional to 354,734.53, 489,544.46 and 201,794.89 is: 278,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,734.53 : 489,544.46 = 201,794.89 : x
  2. Step 2: Convert to fraction form
    354,734.53/489,544.46 = 201,794.89/x
  3. Step 3: Cross multiply
    354,734.53x = 489,544.46 × 201,794.89
  4. Step 4: Simplify right side
    354,734.53x = 98,787,566,999.11
  5. Step 5: Solve for x
    x = 98,787,566,999.11/354,734.53
  6. Step 6: Final answer
    x = 278,483.09

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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.