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Finding the Fourth Proportional to 358,202.81, 494,300.36 and 197,031.84

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Solution

The fourth proportional to 358,202.81, 494,300.36 and 197,031.84 is: 271,893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,202.81 : 494,300.36 = 197,031.84 : x
  2. Step 2: Convert to fraction form
    358,202.81/494,300.36 = 197,031.84/x
  3. Step 3: Cross multiply
    358,202.81x = 494,300.36 × 197,031.84
  4. Step 4: Simplify right side
    358,202.81x = 97,392,908,458.30
  5. Step 5: Solve for x
    x = 97,392,908,458.30/358,202.81
  6. Step 6: Final answer
    x = 271,893.20

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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.