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Finding the Fourth Proportional to 357,914.50, 493,909.42 and 196,768.38

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Solution

The fourth proportional to 357,914.50, 493,909.42 and 196,768.38 is: 271,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,914.50 : 493,909.42 = 196,768.38 : x
  2. Step 2: Convert to fraction form
    357,914.50/493,909.42 = 196,768.38/x
  3. Step 3: Cross multiply
    357,914.50x = 493,909.42 × 196,768.38
  4. Step 4: Simplify right side
    357,914.50x = 97,185,756,440.14
  5. Step 5: Solve for x
    x = 97,185,756,440.14/357,914.50
  6. Step 6: Final answer
    x = 271,533.44

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1.5x scale

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.