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Finding the Fourth Proportional to 357,955.11, 493,973.62 and 196,808.75

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Solution

The fourth proportional to 357,955.11, 493,973.62 and 196,808.75 is: 271,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,955.11 : 493,973.62 = 196,808.75 : x
  2. Step 2: Convert to fraction form
    357,955.11/493,973.62 = 196,808.75/x
  3. Step 3: Cross multiply
    357,955.11x = 493,973.62 × 196,808.75
  4. Step 4: Simplify right side
    357,955.11x = 97,218,329,575.69
  5. Step 5: Solve for x
    x = 97,218,329,575.69/357,955.11
  6. Step 6: Final answer
    x = 271,593.64

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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.