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Finding the Fourth Proportional to 337,393.76, 465,419.12 and 216,400.41

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Solution

The fourth proportional to 337,393.76, 465,419.12 and 216,400.41 is: 298,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,393.76 : 465,419.12 = 216,400.41 : x
  2. Step 2: Convert to fraction form
    337,393.76/465,419.12 = 216,400.41/x
  3. Step 3: Cross multiply
    337,393.76x = 465,419.12 × 216,400.41
  4. Step 4: Simplify right side
    337,393.76x = 100,716,887,307.84
  5. Step 5: Solve for x
    x = 100,716,887,307.84/337,393.76
  6. Step 6: Final answer
    x = 298,514.38

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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.