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Finding the Fourth Proportional to 410,371.68, 565,049.76 and 349,806.48

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Solution

The fourth proportional to 410,371.68, 565,049.76 and 349,806.48 is: 481,656.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,371.68 : 565,049.76 = 349,806.48 : x
  2. Step 2: Convert to fraction form
    410,371.68/565,049.76 = 349,806.48/x
  3. Step 3: Cross multiply
    410,371.68x = 565,049.76 × 349,806.48
  4. Step 4: Simplify right side
    410,371.68x = 197,658,067,570.45
  5. Step 5: Solve for x
    x = 197,658,067,570.45/410,371.68
  6. Step 6: Final answer
    x = 481,656.21

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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.