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Finding the Fourth Proportional to 295,321.20, 407,401.56 and 214,623.60

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Solution

The fourth proportional to 295,321.20, 407,401.56 and 214,623.60 is: 296,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,321.20 : 407,401.56 = 214,623.60 : x
  2. Step 2: Convert to fraction form
    295,321.20/407,401.56 = 214,623.60/x
  3. Step 3: Cross multiply
    295,321.20x = 407,401.56 × 214,623.60
  4. Step 4: Simplify right side
    295,321.20x = 87,437,989,452.82
  5. Step 5: Solve for x
    x = 87,437,989,452.82/295,321.20
  6. Step 6: Final answer
    x = 296,077.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.