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Finding the Fourth Proportional to 357,969.33, 493,984.40 and 196,814.79

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Solution

The fourth proportional to 357,969.33, 493,984.40 and 196,814.79 is: 271,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,969.33 : 493,984.40 = 196,814.79 : x
  2. Step 2: Convert to fraction form
    357,969.33/493,984.40 = 196,814.79/x
  3. Step 3: Cross multiply
    357,969.33x = 493,984.40 × 196,814.79
  4. Step 4: Simplify right side
    357,969.33x = 97,223,434,965.20
  5. Step 5: Solve for x
    x = 97,223,434,965.20/357,969.33
  6. Step 6: Final answer
    x = 271,597.11

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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.