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Finding the Fourth Proportional to 337,409.88, 465,307.38 and 216,588.12

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Solution

The fourth proportional to 337,409.88, 465,307.38 and 216,588.12 is: 298,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,409.88 : 465,307.38 = 216,588.12 : x
  2. Step 2: Convert to fraction form
    337,409.88/465,307.38 = 216,588.12/x
  3. Step 3: Cross multiply
    337,409.88x = 465,307.38 × 216,588.12
  4. Step 4: Simplify right side
    337,409.88x = 100,780,050,656.33
  5. Step 5: Solve for x
    x = 100,780,050,656.33/337,409.88
  6. Step 6: Final answer
    x = 298,687.31

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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.