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Finding the Fourth Proportional to 522,911.70, 784,699.34 and 223,394.52

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Solution

The fourth proportional to 522,911.70, 784,699.34 and 223,394.52 is: 335,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,911.70 : 784,699.34 = 223,394.52 : x
  2. Step 2: Convert to fraction form
    522,911.70/784,699.34 = 223,394.52/x
  3. Step 3: Cross multiply
    522,911.70x = 784,699.34 × 223,394.52
  4. Step 4: Simplify right side
    522,911.70x = 175,297,532,403.62
  5. Step 5: Solve for x
    x = 175,297,532,403.62/522,911.70
  6. Step 6: Final answer
    x = 335,233.52

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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.