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Finding the Fourth Proportional to 565,954.82, 781,014.12 and 320,986.34

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Solution

The fourth proportional to 565,954.82, 781,014.12 and 320,986.34 is: 442,959.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,954.82 : 781,014.12 = 320,986.34 : x
  2. Step 2: Convert to fraction form
    565,954.82/781,014.12 = 320,986.34/x
  3. Step 3: Cross multiply
    565,954.82x = 781,014.12 × 320,986.34
  4. Step 4: Simplify right side
    565,954.82x = 250,694,863,867.12
  5. Step 5: Solve for x
    x = 250,694,863,867.12/565,954.82
  6. Step 6: Final answer
    x = 442,959.15

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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.