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Finding the Fourth Proportional to 361,166.88, 498,410.64 and 197,822.64

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Solution

The fourth proportional to 361,166.88, 498,410.64 and 197,822.64 is: 272,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,166.88 : 498,410.64 = 197,822.64 : x
  2. Step 2: Convert to fraction form
    361,166.88/498,410.64 = 197,822.64/x
  3. Step 3: Cross multiply
    361,166.88x = 498,410.64 × 197,822.64
  4. Step 4: Simplify right side
    361,166.88x = 98,596,908,608.89
  5. Step 5: Solve for x
    x = 98,596,908,608.89/361,166.88
  6. Step 6: Final answer
    x = 272,995.43

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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.