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Finding the Fourth Proportional to 357,564.53, 493,232.89 and 214,241.54

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Solution

The fourth proportional to 357,564.53, 493,232.89 and 214,241.54 is: 295,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,564.53 : 493,232.89 = 214,241.54 : x
  2. Step 2: Convert to fraction form
    357,564.53/493,232.89 = 214,241.54/x
  3. Step 3: Cross multiply
    357,564.53x = 493,232.89 × 214,241.54
  4. Step 4: Simplify right side
    357,564.53x = 105,670,970,394.88
  5. Step 5: Solve for x
    x = 105,670,970,394.88/357,564.53
  6. Step 6: Final answer
    x = 295,529.79

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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.