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Finding the Fourth Proportional to 384,112.68, 576,262.47 and 127,944.60

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Solution

The fourth proportional to 384,112.68, 576,262.47 and 127,944.60 is: 191,948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,112.68 : 576,262.47 = 127,944.60 : x
  2. Step 2: Convert to fraction form
    384,112.68/576,262.47 = 127,944.60/x
  3. Step 3: Cross multiply
    384,112.68x = 576,262.47 × 127,944.60
  4. Step 4: Simplify right side
    384,112.68x = 73,729,671,219.16
  5. Step 5: Solve for x
    x = 73,729,671,219.16/384,112.68
  6. Step 6: Final answer
    x = 191,948.03

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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.