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Finding the Fourth Proportional to 563,286.97, 777,367.14 and 321,647.16

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Solution

The fourth proportional to 563,286.97, 777,367.14 and 321,647.16 is: 443,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,286.97 : 777,367.14 = 321,647.16 : x
  2. Step 2: Convert to fraction form
    563,286.97/777,367.14 = 321,647.16/x
  3. Step 3: Cross multiply
    563,286.97x = 777,367.14 × 321,647.16
  4. Step 4: Simplify right side
    563,286.97x = 250,037,932,858.32
  5. Step 5: Solve for x
    x = 250,037,932,858.32/563,286.97
  6. Step 6: Final answer
    x = 443,890.86

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1.5x scale

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.