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Finding the Fourth Proportional to 337,653.34, 465,505.63 and 216,584.46

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Solution

The fourth proportional to 337,653.34, 465,505.63 and 216,584.46 is: 298,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,653.34 : 465,505.63 = 216,584.46 : x
  2. Step 2: Convert to fraction form
    337,653.34/465,505.63 = 216,584.46/x
  3. Step 3: Cross multiply
    337,653.34x = 465,505.63 × 216,584.46
  4. Step 4: Simplify right side
    337,653.34x = 100,821,284,417.59
  5. Step 5: Solve for x
    x = 100,821,284,417.59/337,653.34
  6. Step 6: Final answer
    x = 298,594.07

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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.