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Finding the Fourth Proportional to 502,591.50, 693,581.64 and 273,148.80

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Solution

The fourth proportional to 502,591.50, 693,581.64 and 273,148.80 is: 376,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,591.50 : 693,581.64 = 273,148.80 : x
  2. Step 2: Convert to fraction form
    502,591.50/693,581.64 = 273,148.80/x
  3. Step 3: Cross multiply
    502,591.50x = 693,581.64 × 273,148.80
  4. Step 4: Simplify right side
    502,591.50x = 189,450,992,668.03
  5. Step 5: Solve for x
    x = 189,450,992,668.03/502,591.50
  6. Step 6: Final answer
    x = 376,948.26

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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.