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Finding the Fourth Proportional to 506,969.68, 699,337.92 and 325,708.60

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Solution

The fourth proportional to 506,969.68, 699,337.92 and 325,708.60 is: 449,297.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,969.68 : 699,337.92 = 325,708.60 : x
  2. Step 2: Convert to fraction form
    506,969.68/699,337.92 = 325,708.60/x
  3. Step 3: Cross multiply
    506,969.68x = 699,337.92 × 325,708.60
  4. Step 4: Simplify right side
    506,969.68x = 227,780,374,850.11
  5. Step 5: Solve for x
    x = 227,780,374,850.11/506,969.68
  6. Step 6: Final answer
    x = 449,297.83

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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.