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Finding the Fourth Proportional to 358,178.42, 494,266.76 and 197,007.46

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Solution

The fourth proportional to 358,178.42, 494,266.76 and 197,007.46 is: 271,859.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,178.42 : 494,266.76 = 197,007.46 : x
  2. Step 2: Convert to fraction form
    358,178.42/494,266.76 = 197,007.46/x
  3. Step 3: Cross multiply
    358,178.42x = 494,266.76 × 197,007.46
  4. Step 4: Simplify right side
    358,178.42x = 97,374,237,468.10
  5. Step 5: Solve for x
    x = 97,374,237,468.10/358,178.42
  6. Step 6: Final answer
    x = 271,859.59

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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.