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Finding the Fourth Proportional to 567,427.16, 783,049.26 and 312,782.60

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Solution

The fourth proportional to 567,427.16, 783,049.26 and 312,782.60 is: 431,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,427.16 : 783,049.26 = 312,782.60 : x
  2. Step 2: Convert to fraction form
    567,427.16/783,049.26 = 312,782.60/x
  3. Step 3: Cross multiply
    567,427.16x = 783,049.26 × 312,782.60
  4. Step 4: Simplify right side
    567,427.16x = 244,924,183,470.88
  5. Step 5: Solve for x
    x = 244,924,183,470.88/567,427.16
  6. Step 6: Final answer
    x = 431,639.87

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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.