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Finding the Fourth Proportional to 468,536.97, 646,580.16 and 253,677

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Solution

The fourth proportional to 468,536.97, 646,580.16 and 253,677 is: 350,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,536.97 : 646,580.16 = 253,677 : x
  2. Step 2: Convert to fraction form
    468,536.97/646,580.16 = 253,677/x
  3. Step 3: Cross multiply
    468,536.97x = 646,580.16 × 253,677
  4. Step 4: Simplify right side
    468,536.97x = 164,022,515,248.32
  5. Step 5: Solve for x
    x = 164,022,515,248.32/468,536.97
  6. Step 6: Final answer
    x = 350,073.80

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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.