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Finding the Fourth Proportional to 419,223.57, 631,660.04 and 345,984.18

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Solution

The fourth proportional to 419,223.57, 631,660.04 and 345,984.18 is: 521,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,223.57 : 631,660.04 = 345,984.18 : x
  2. Step 2: Convert to fraction form
    419,223.57/631,660.04 = 345,984.18/x
  3. Step 3: Cross multiply
    419,223.57x = 631,660.04 × 345,984.18
  4. Step 4: Simplify right side
    419,223.57x = 218,544,380,978.17
  5. Step 5: Solve for x
    x = 218,544,380,978.17/419,223.57
  6. Step 6: Final answer
    x = 521,307.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.