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Finding the Fourth Proportional to 354,946.34, 489,825.68 and 193,801.38

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Solution

The fourth proportional to 354,946.34, 489,825.68 and 193,801.38 is: 267,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,946.34 : 489,825.68 = 193,801.38 : x
  2. Step 2: Convert to fraction form
    354,946.34/489,825.68 = 193,801.38/x
  3. Step 3: Cross multiply
    354,946.34x = 489,825.68 × 193,801.38
  4. Step 4: Simplify right side
    354,946.34x = 94,928,891,774.43
  5. Step 5: Solve for x
    x = 94,928,891,774.43/354,946.34
  6. Step 6: Final answer
    x = 267,445.76

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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.