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Finding the Fourth Proportional to 565,954, 781,127.44 and 324,398.48

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Solution

The fourth proportional to 565,954, 781,127.44 and 324,398.48 is: 447,733.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,954 : 781,127.44 = 324,398.48 : x
  2. Step 2: Convert to fraction form
    565,954/781,127.44 = 324,398.48/x
  3. Step 3: Cross multiply
    565,954x = 781,127.44 × 324,398.48
  4. Step 4: Simplify right side
    565,954x = 253,396,554,222.29
  5. Step 5: Solve for x
    x = 253,396,554,222.29/565,954
  6. Step 6: Final answer
    x = 447,733.48

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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.