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Finding the Fourth Proportional to 358,193.76, 494,291.78 and 197,038.58

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Solution

The fourth proportional to 358,193.76, 494,291.78 and 197,038.58 is: 271,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,193.76 : 494,291.78 = 197,038.58 : x
  2. Step 2: Convert to fraction form
    358,193.76/494,291.78 = 197,038.58/x
  3. Step 3: Cross multiply
    358,193.76x = 494,291.78 × 197,038.58
  4. Step 4: Simplify right side
    358,193.76x = 97,394,550,436.87
  5. Step 5: Solve for x
    x = 97,394,550,436.87/358,193.76
  6. Step 6: Final answer
    x = 271,904.65

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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.