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Finding the Fourth Proportional to 322,405.30, 483,607.95 and 283,039.30

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Solution

The fourth proportional to 322,405.30, 483,607.95 and 283,039.30 is: 424,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,405.30 : 483,607.95 = 283,039.30 : x
  2. Step 2: Convert to fraction form
    322,405.30/483,607.95 = 283,039.30/x
  3. Step 3: Cross multiply
    322,405.30x = 483,607.95 × 283,039.30
  4. Step 4: Simplify right side
    322,405.30x = 136,880,055,642.44
  5. Step 5: Solve for x
    x = 136,880,055,642.44/322,405.30
  6. Step 6: Final answer
    x = 424,558.95

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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.