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Finding the Fourth Proportional to 509,629.76, 703,596 and 337,692.80

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Solution

The fourth proportional to 509,629.76, 703,596 and 337,692.80 is: 466,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,629.76 : 703,596 = 337,692.80 : x
  2. Step 2: Convert to fraction form
    509,629.76/703,596 = 337,692.80/x
  3. Step 3: Cross multiply
    509,629.76x = 703,596 × 337,692.80
  4. Step 4: Simplify right side
    509,629.76x = 237,599,303,308.80
  5. Step 5: Solve for x
    x = 237,599,303,308.80/509,629.76
  6. Step 6: Final answer
    x = 466,219.44

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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.