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Finding the Fourth Proportional to 322,048.04, 443,695.24 and 249,200.47

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Solution

The fourth proportional to 322,048.04, 443,695.24 and 249,200.47 is: 343,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,048.04 : 443,695.24 = 249,200.47 : x
  2. Step 2: Convert to fraction form
    322,048.04/443,695.24 = 249,200.47/x
  3. Step 3: Cross multiply
    322,048.04x = 443,695.24 × 249,200.47
  4. Step 4: Simplify right side
    322,048.04x = 110,569,062,344.76
  5. Step 5: Solve for x
    x = 110,569,062,344.76/322,048.04
  6. Step 6: Final answer
    x = 343,330.96

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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.