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Finding the Fourth Proportional to 322,047.04, 443,693.86 and 249,199.47

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Solution

The fourth proportional to 322,047.04, 443,693.86 and 249,199.47 is: 343,329.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,047.04 : 443,693.86 = 249,199.47 : x
  2. Step 2: Convert to fraction form
    322,047.04/443,693.86 = 249,199.47/x
  3. Step 3: Cross multiply
    322,047.04x = 443,693.86 × 249,199.47
  4. Step 4: Simplify right side
    322,047.04x = 110,568,274,754.25
  5. Step 5: Solve for x
    x = 110,568,274,754.25/322,047.04
  6. Step 6: Final answer
    x = 343,329.58

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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.