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Finding the Fourth Proportional to 357,774.14, 493,740.16 and 196,634.90

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Solution

The fourth proportional to 357,774.14, 493,740.16 and 196,634.90 is: 271,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,774.14 : 493,740.16 = 196,634.90 : x
  2. Step 2: Convert to fraction form
    357,774.14/493,740.16 = 196,634.90/x
  3. Step 3: Cross multiply
    357,774.14x = 493,740.16 × 196,634.90
  4. Step 4: Simplify right side
    357,774.14x = 97,086,546,987.58
  5. Step 5: Solve for x
    x = 97,086,546,987.58/357,774.14
  6. Step 6: Final answer
    x = 271,362.67

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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.