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Finding the Fourth Proportional to 506,806.70, 699,194.30 and 325,493.46

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Solution

The fourth proportional to 506,806.70, 699,194.30 and 325,493.46 is: 449,053.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,806.70 : 699,194.30 = 325,493.46 : x
  2. Step 2: Convert to fraction form
    506,806.70/699,194.30 = 325,493.46/x
  3. Step 3: Cross multiply
    506,806.70x = 699,194.30 × 325,493.46
  4. Step 4: Simplify right side
    506,806.70x = 227,583,170,291.81
  5. Step 5: Solve for x
    x = 227,583,170,291.81/506,806.70
  6. Step 6: Final answer
    x = 449,053.20

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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.