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Finding the Fourth Proportional to 357,104.70, 492,780.38 and 195,970.08

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Solution

The fourth proportional to 357,104.70, 492,780.38 and 195,970.08 is: 270,425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,104.70 : 492,780.38 = 195,970.08 : x
  2. Step 2: Convert to fraction form
    357,104.70/492,780.38 = 195,970.08/x
  3. Step 3: Cross multiply
    357,104.70x = 492,780.38 × 195,970.08
  4. Step 4: Simplify right side
    357,104.70x = 96,570,209,511.18
  5. Step 5: Solve for x
    x = 96,570,209,511.18/357,104.70
  6. Step 6: Final answer
    x = 270,425.48

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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.