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Finding the Fourth Proportional to 462,814.40, 692,839.20 and 275,729.60

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Solution

The fourth proportional to 462,814.40, 692,839.20 and 275,729.60 is: 412,770.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,814.40 : 692,839.20 = 275,729.60 : x
  2. Step 2: Convert to fraction form
    462,814.40/692,839.20 = 275,729.60/x
  3. Step 3: Cross multiply
    462,814.40x = 692,839.20 × 275,729.60
  4. Step 4: Simplify right side
    462,814.40x = 191,036,275,480.32
  5. Step 5: Solve for x
    x = 191,036,275,480.32/462,814.40
  6. Step 6: Final answer
    x = 412,770.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.