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Finding the Fourth Proportional to 484,194, 726,407.68 and 151,770

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Solution

The fourth proportional to 484,194, 726,407.68 and 151,770 is: 227,691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,194 : 726,407.68 = 151,770 : x
  2. Step 2: Convert to fraction form
    484,194/726,407.68 = 151,770/x
  3. Step 3: Cross multiply
    484,194x = 726,407.68 × 151,770
  4. Step 4: Simplify right side
    484,194x = 110,246,893,593.60
  5. Step 5: Solve for x
    x = 110,246,893,593.60/484,194
  6. Step 6: Final answer
    x = 227,691.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.