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Finding the Fourth Proportional to 357,963.58, 493,976.46 and 196,809.04

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Solution

The fourth proportional to 357,963.58, 493,976.46 and 196,809.04 is: 271,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,963.58 : 493,976.46 = 196,809.04 : x
  2. Step 2: Convert to fraction form
    357,963.58/493,976.46 = 196,809.04/x
  3. Step 3: Cross multiply
    357,963.58x = 493,976.46 × 196,809.04
  4. Step 4: Simplify right side
    357,963.58x = 97,219,032,875.20
  5. Step 5: Solve for x
    x = 97,219,032,875.20/357,963.58
  6. Step 6: Final answer
    x = 271,589.17

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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.