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Finding the Fourth Proportional to 463,004.96, 638,667.13 and 305,841.84

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Solution

The fourth proportional to 463,004.96, 638,667.13 and 305,841.84 is: 421,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,004.96 : 638,667.13 = 305,841.84 : x
  2. Step 2: Convert to fraction form
    463,004.96/638,667.13 = 305,841.84/x
  3. Step 3: Cross multiply
    463,004.96x = 638,667.13 × 305,841.84
  4. Step 4: Simplify right side
    463,004.96x = 195,331,130,186.72
  5. Step 5: Solve for x
    x = 195,331,130,186.72/463,004.96
  6. Step 6: Final answer
    x = 421,876.97

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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.