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Finding the Fourth Proportional to 357,007.46, 492,702.16 and 195,893.88

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Solution

The fourth proportional to 357,007.46, 492,702.16 and 195,893.88 is: 270,351.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,007.46 : 492,702.16 = 195,893.88 : x
  2. Step 2: Convert to fraction form
    357,007.46/492,702.16 = 195,893.88/x
  3. Step 3: Cross multiply
    357,007.46x = 492,702.16 × 195,893.88
  4. Step 4: Simplify right side
    357,007.46x = 96,517,337,806.78
  5. Step 5: Solve for x
    x = 96,517,337,806.78/357,007.46
  6. Step 6: Final answer
    x = 270,351.04

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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.