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Finding the Fourth Proportional to 357,736.14, 493,655.85 and 214,424.46

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Solution

The fourth proportional to 357,736.14, 493,655.85 and 214,424.46 is: 295,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,736.14 : 493,655.85 = 214,424.46 : x
  2. Step 2: Convert to fraction form
    357,736.14/493,655.85 = 214,424.46/x
  3. Step 3: Cross multiply
    357,736.14x = 493,655.85 × 214,424.46
  4. Step 4: Simplify right side
    357,736.14x = 105,851,889,062.09
  5. Step 5: Solve for x
    x = 105,851,889,062.09/357,736.14
  6. Step 6: Final answer
    x = 295,893.75

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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.