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Finding the Fourth Proportional to 357,218.64, 492,960 and 196,076.44

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Solution

The fourth proportional to 357,218.64, 492,960 and 196,076.44 is: 270,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,218.64 : 492,960 = 196,076.44 : x
  2. Step 2: Convert to fraction form
    357,218.64/492,960 = 196,076.44/x
  3. Step 3: Cross multiply
    357,218.64x = 492,960 × 196,076.44
  4. Step 4: Simplify right side
    357,218.64x = 96,657,841,862.40
  5. Step 5: Solve for x
    x = 96,657,841,862.40/357,218.64
  6. Step 6: Final answer
    x = 270,584.54

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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.