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Finding the Fourth Proportional to 297,024.26, 409,960.38 and 249,194.57

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Solution

The fourth proportional to 297,024.26, 409,960.38 and 249,194.57 is: 343,944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,024.26 : 409,960.38 = 249,194.57 : x
  2. Step 2: Convert to fraction form
    297,024.26/409,960.38 = 249,194.57/x
  3. Step 3: Cross multiply
    297,024.26x = 409,960.38 × 249,194.57
  4. Step 4: Simplify right side
    297,024.26x = 102,159,898,561.34
  5. Step 5: Solve for x
    x = 102,159,898,561.34/297,024.26
  6. Step 6: Final answer
    x = 343,944.63

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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.