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Finding the Fourth Proportional to 589,693.20, 884,102.40 and 252,457.80

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Solution

The fourth proportional to 589,693.20, 884,102.40 and 252,457.80 is: 378,499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,693.20 : 884,102.40 = 252,457.80 : x
  2. Step 2: Convert to fraction form
    589,693.20/884,102.40 = 252,457.80/x
  3. Step 3: Cross multiply
    589,693.20x = 884,102.40 × 252,457.80
  4. Step 4: Simplify right side
    589,693.20x = 223,198,546,878.72
  5. Step 5: Solve for x
    x = 223,198,546,878.72/589,693.20
  6. Step 6: Final answer
    x = 378,499.44

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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.