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Finding the Fourth Proportional to 337,040.52, 465,326.28 and 214,602

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Solution

The fourth proportional to 337,040.52, 465,326.28 and 214,602 is: 296,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,040.52 : 465,326.28 = 214,602 : x
  2. Step 2: Convert to fraction form
    337,040.52/465,326.28 = 214,602/x
  3. Step 3: Cross multiply
    337,040.52x = 465,326.28 × 214,602
  4. Step 4: Simplify right side
    337,040.52x = 99,859,950,340.56
  5. Step 5: Solve for x
    x = 99,859,950,340.56/337,040.52
  6. Step 6: Final answer
    x = 296,284.70

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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.