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Finding the Fourth Proportional to 565,517.41, 780,394.24 and 310,866.78

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Solution

The fourth proportional to 565,517.41, 780,394.24 and 310,866.78 is: 428,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,517.41 : 780,394.24 = 310,866.78 : x
  2. Step 2: Convert to fraction form
    565,517.41/780,394.24 = 310,866.78/x
  3. Step 3: Cross multiply
    565,517.41x = 780,394.24 × 310,866.78
  4. Step 4: Simplify right side
    565,517.41x = 242,598,644,519.35
  5. Step 5: Solve for x
    x = 242,598,644,519.35/565,517.41
  6. Step 6: Final answer
    x = 428,985.28

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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.