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Finding the Fourth Proportional to 567,395.28, 782,921.16 and 325,686.96

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Solution

The fourth proportional to 567,395.28, 782,921.16 and 325,686.96 is: 449,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,395.28 : 782,921.16 = 325,686.96 : x
  2. Step 2: Convert to fraction form
    567,395.28/782,921.16 = 325,686.96/x
  3. Step 3: Cross multiply
    567,395.28x = 782,921.16 × 325,686.96
  4. Step 4: Simplify right side
    567,395.28x = 254,987,212,520.07
  5. Step 5: Solve for x
    x = 254,987,212,520.07/567,395.28
  6. Step 6: Final answer
    x = 449,399.60

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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.