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Finding the Fourth Proportional to 358,205.85, 494,320.52 and 197,061.08

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Solution

The fourth proportional to 358,205.85, 494,320.52 and 197,061.08 is: 271,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,205.85 : 494,320.52 = 197,061.08 : x
  2. Step 2: Convert to fraction form
    358,205.85/494,320.52 = 197,061.08/x
  3. Step 3: Cross multiply
    358,205.85x = 494,320.52 × 197,061.08
  4. Step 4: Simplify right side
    358,205.85x = 97,411,333,558.41
  5. Step 5: Solve for x
    x = 97,411,333,558.41/358,205.85
  6. Step 6: Final answer
    x = 271,942.33

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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.