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Finding the Fourth Proportional to 357,490.33, 493,335.16 and 196,344.88

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Solution

The fourth proportional to 357,490.33, 493,335.16 and 196,344.88 is: 270,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,490.33 : 493,335.16 = 196,344.88 : x
  2. Step 2: Convert to fraction form
    357,490.33/493,335.16 = 196,344.88/x
  3. Step 3: Cross multiply
    357,490.33x = 493,335.16 × 196,344.88
  4. Step 4: Simplify right side
    357,490.33x = 96,863,831,065.78
  5. Step 5: Solve for x
    x = 96,863,831,065.78/357,490.33
  6. Step 6: Final answer
    x = 270,955.11

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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.