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Finding the Fourth Proportional to 412,361.60, 617,492.36 and 271,693.76

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Solution

The fourth proportional to 412,361.60, 617,492.36 and 271,693.76 is: 406,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,361.60 : 617,492.36 = 271,693.76 : x
  2. Step 2: Convert to fraction form
    412,361.60/617,492.36 = 271,693.76/x
  3. Step 3: Cross multiply
    412,361.60x = 617,492.36 × 271,693.76
  4. Step 4: Simplify right side
    412,361.60x = 167,768,818,651.45
  5. Step 5: Solve for x
    x = 167,768,818,651.45/412,361.60
  6. Step 6: Final answer
    x = 406,848.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.