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Finding the Fourth Proportional to 567,372.24, 782,964 and 312,747.12

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Solution

The fourth proportional to 567,372.24, 782,964 and 312,747.12 is: 431,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,372.24 : 782,964 = 312,747.12 : x
  2. Step 2: Convert to fraction form
    567,372.24/782,964 = 312,747.12/x
  3. Step 3: Cross multiply
    567,372.24x = 782,964 × 312,747.12
  4. Step 4: Simplify right side
    567,372.24x = 244,869,736,063.68
  5. Step 5: Solve for x
    x = 244,869,736,063.68/567,372.24
  6. Step 6: Final answer
    x = 431,585.68

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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.