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Finding the Fourth Proportional to 586,344, 809,219.52 and 331,692.96

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Solution

The fourth proportional to 586,344, 809,219.52 and 331,692.96 is: 457,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,344 : 809,219.52 = 331,692.96 : x
  2. Step 2: Convert to fraction form
    586,344/809,219.52 = 331,692.96/x
  3. Step 3: Cross multiply
    586,344x = 809,219.52 × 331,692.96
  4. Step 4: Simplify right side
    586,344x = 268,412,417,878.58
  5. Step 5: Solve for x
    x = 268,412,417,878.58/586,344
  6. Step 6: Final answer
    x = 457,772.94

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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.