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Finding the Fourth Proportional to 302,563.20, 453,844.80 and 208,084.80

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Solution

The fourth proportional to 302,563.20, 453,844.80 and 208,084.80 is: 312,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,563.20 : 453,844.80 = 208,084.80 : x
  2. Step 2: Convert to fraction form
    302,563.20/453,844.80 = 208,084.80/x
  3. Step 3: Cross multiply
    302,563.20x = 453,844.80 × 208,084.80
  4. Step 4: Simplify right side
    302,563.20x = 94,438,204,439.04
  5. Step 5: Solve for x
    x = 94,438,204,439.04/302,563.20
  6. Step 6: Final answer
    x = 312,127.20

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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.