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Finding the Fourth Proportional to 565,829.73, 780,854.49 and 324,133.38

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Solution

The fourth proportional to 565,829.73, 780,854.49 and 324,133.38 is: 447,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,829.73 : 780,854.49 = 324,133.38 : x
  2. Step 2: Convert to fraction form
    565,829.73/780,854.49 = 324,133.38/x
  3. Step 3: Cross multiply
    565,829.73x = 780,854.49 × 324,133.38
  4. Step 4: Simplify right side
    565,829.73x = 253,101,005,131.88
  5. Step 5: Solve for x
    x = 253,101,005,131.88/565,829.73
  6. Step 6: Final answer
    x = 447,309.49

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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.