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Finding the Fourth Proportional to 354,421.85, 489,093.27 and 193,280

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Solution

The fourth proportional to 354,421.85, 489,093.27 and 193,280 is: 266,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,421.85 : 489,093.27 = 193,280 : x
  2. Step 2: Convert to fraction form
    354,421.85/489,093.27 = 193,280/x
  3. Step 3: Cross multiply
    354,421.85x = 489,093.27 × 193,280
  4. Step 4: Simplify right side
    354,421.85x = 94,531,947,225.60
  5. Step 5: Solve for x
    x = 94,531,947,225.60/354,421.85
  6. Step 6: Final answer
    x = 266,721.56

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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.