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Finding the Fourth Proportional to 337,456.54, 465,782.43 and 210,056.50

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Solution

The fourth proportional to 337,456.54, 465,782.43 and 210,056.50 is: 289,935.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,456.54 : 465,782.43 = 210,056.50 : x
  2. Step 2: Convert to fraction form
    337,456.54/465,782.43 = 210,056.50/x
  3. Step 3: Cross multiply
    337,456.54x = 465,782.43 × 210,056.50
  4. Step 4: Simplify right side
    337,456.54x = 97,840,627,007.30
  5. Step 5: Solve for x
    x = 97,840,627,007.30/337,456.54
  6. Step 6: Final answer
    x = 289,935.49

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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.