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Finding the Fourth Proportional to 567,196.02, 782,761.32 and 325,476.63

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Solution

The fourth proportional to 567,196.02, 782,761.32 and 325,476.63 is: 449,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,196.02 : 782,761.32 = 325,476.63 : x
  2. Step 2: Convert to fraction form
    567,196.02/782,761.32 = 325,476.63/x
  3. Step 3: Cross multiply
    567,196.02x = 782,761.32 × 325,476.63
  4. Step 4: Simplify right side
    567,196.02x = 254,770,516,527.95
  5. Step 5: Solve for x
    x = 254,770,516,527.95/567,196.02
  6. Step 6: Final answer
    x = 449,175.43

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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.