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Finding the Fourth Proportional to 358,169.94, 494,264.03 and 197,024.90

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Solution

The fourth proportional to 358,169.94, 494,264.03 and 197,024.90 is: 271,888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,169.94 : 494,264.03 = 197,024.90 : x
  2. Step 2: Convert to fraction form
    358,169.94/494,264.03 = 197,024.90/x
  3. Step 3: Cross multiply
    358,169.94x = 494,264.03 × 197,024.90
  4. Step 4: Simplify right side
    358,169.94x = 97,382,317,627.90
  5. Step 5: Solve for x
    x = 97,382,317,627.90/358,169.94
  6. Step 6: Final answer
    x = 271,888.58

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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.