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Finding the Fourth Proportional to 358,038.42, 494,096.14 and 194,695.44

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Solution

The fourth proportional to 358,038.42, 494,096.14 and 194,695.44 is: 268,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,038.42 : 494,096.14 = 194,695.44 : x
  2. Step 2: Convert to fraction form
    358,038.42/494,096.14 = 194,695.44/x
  3. Step 3: Cross multiply
    358,038.42x = 494,096.14 × 194,695.44
  4. Step 4: Simplify right side
    358,038.42x = 96,198,265,379.60
  5. Step 5: Solve for x
    x = 96,198,265,379.60/358,038.42
  6. Step 6: Final answer
    x = 268,681.40

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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.