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Finding the Fourth Proportional to 357,821.64, 493,768.98 and 196,672.68

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Solution

The fourth proportional to 357,821.64, 493,768.98 and 196,672.68 is: 271,394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,821.64 : 493,768.98 = 196,672.68 : x
  2. Step 2: Convert to fraction form
    357,821.64/493,768.98 = 196,672.68/x
  3. Step 3: Cross multiply
    357,821.64x = 493,768.98 × 196,672.68
  4. Step 4: Simplify right side
    357,821.64x = 97,110,868,597.47
  5. Step 5: Solve for x
    x = 97,110,868,597.47/357,821.64
  6. Step 6: Final answer
    x = 271,394.62

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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.