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Finding the Fourth Proportional to 357,840.59, 493,614.10 and 214,517.36

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Solution

The fourth proportional to 357,840.59, 493,614.10 and 214,517.36 is: 295,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,840.59 : 493,614.10 = 214,517.36 : x
  2. Step 2: Convert to fraction form
    357,840.59/493,614.10 = 214,517.36/x
  3. Step 3: Cross multiply
    357,840.59x = 493,614.10 × 214,517.36
  4. Step 4: Simplify right side
    357,840.59x = 105,888,795,092.96
  5. Step 5: Solve for x
    x = 105,888,795,092.96/357,840.59
  6. Step 6: Final answer
    x = 295,910.52

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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.