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Finding the Fourth Proportional to 357,841.60, 493,822.51 and 196,713.16

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Solution

The fourth proportional to 357,841.60, 493,822.51 and 196,713.16 is: 271,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,841.60 : 493,822.51 = 196,713.16 : x
  2. Step 2: Convert to fraction form
    357,841.60/493,822.51 = 196,713.16/x
  3. Step 3: Cross multiply
    357,841.60x = 493,822.51 × 196,713.16
  4. Step 4: Simplify right side
    357,841.60x = 97,141,384,694.89
  5. Step 5: Solve for x
    x = 97,141,384,694.89/357,841.60
  6. Step 6: Final answer
    x = 271,464.76

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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.