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Finding the Fourth Proportional to 357,494.47, 493,136.39 and 214,171.49

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Solution

The fourth proportional to 357,494.47, 493,136.39 and 214,171.49 is: 295,433.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,494.47 : 493,136.39 = 214,171.49 : x
  2. Step 2: Convert to fraction form
    357,494.47/493,136.39 = 214,171.49/x
  3. Step 3: Cross multiply
    357,494.47x = 493,136.39 × 214,171.49
  4. Step 4: Simplify right side
    357,494.47x = 105,615,757,187.79
  5. Step 5: Solve for x
    x = 105,615,757,187.79/357,494.47
  6. Step 6: Final answer
    x = 295,433.26

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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.