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Finding the Fourth Proportional to 358,534.86, 494,759.32 and 197,358.42

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Solution

The fourth proportional to 358,534.86, 494,759.32 and 197,358.42 is: 272,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,534.86 : 494,759.32 = 197,358.42 : x
  2. Step 2: Convert to fraction form
    358,534.86/494,759.32 = 197,358.42/x
  3. Step 3: Cross multiply
    358,534.86x = 494,759.32 × 197,358.42
  4. Step 4: Simplify right side
    358,534.86x = 97,644,917,675.47
  5. Step 5: Solve for x
    x = 97,644,917,675.47/358,534.86
  6. Step 6: Final answer
    x = 272,344.28

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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.