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Finding the Fourth Proportional to 322,043.79, 443,689.38 and 249,196.22

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Solution

The fourth proportional to 322,043.79, 443,689.38 and 249,196.22 is: 343,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,043.79 : 443,689.38 = 249,196.22 : x
  2. Step 2: Convert to fraction form
    322,043.79/443,689.38 = 249,196.22/x
  3. Step 3: Cross multiply
    322,043.79x = 443,689.38 × 249,196.22
  4. Step 4: Simplify right side
    322,043.79x = 110,565,714,131.70
  5. Step 5: Solve for x
    x = 110,565,714,131.70/322,043.79
  6. Step 6: Final answer
    x = 343,325.09

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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.