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Finding the Fourth Proportional to 418,254.48, 627,380.46 and 118,735.32

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Solution

The fourth proportional to 418,254.48, 627,380.46 and 118,735.32 is: 178,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,254.48 : 627,380.46 = 118,735.32 : x
  2. Step 2: Convert to fraction form
    418,254.48/627,380.46 = 118,735.32/x
  3. Step 3: Cross multiply
    418,254.48x = 627,380.46 × 118,735.32
  4. Step 4: Simplify right side
    418,254.48x = 74,492,219,679.85
  5. Step 5: Solve for x
    x = 74,492,219,679.85/418,254.48
  6. Step 6: Final answer
    x = 178,102.62

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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.