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Finding the Fourth Proportional to 465,804.41, 698,667.65 and 128,849.21

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Solution

The fourth proportional to 465,804.41, 698,667.65 and 128,849.21 is: 193,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,804.41 : 698,667.65 = 128,849.21 : x
  2. Step 2: Convert to fraction form
    465,804.41/698,667.65 = 128,849.21/x
  3. Step 3: Cross multiply
    465,804.41x = 698,667.65 × 128,849.21
  4. Step 4: Simplify right side
    465,804.41x = 90,022,770,617.47
  5. Step 5: Solve for x
    x = 90,022,770,617.47/465,804.41
  6. Step 6: Final answer
    x = 193,263.03

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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.