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Finding the Fourth Proportional to 567,275.37, 782,840.03 and 312,626.56

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Solution

The fourth proportional to 567,275.37, 782,840.03 and 312,626.56 is: 431,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,275.37 : 782,840.03 = 312,626.56 : x
  2. Step 2: Convert to fraction form
    567,275.37/782,840.03 = 312,626.56/x
  3. Step 3: Cross multiply
    567,275.37x = 782,840.03 × 312,626.56
  4. Step 4: Simplify right side
    567,275.37x = 244,736,585,609.20
  5. Step 5: Solve for x
    x = 244,736,585,609.20/567,275.37
  6. Step 6: Final answer
    x = 431,424.66

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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.