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Finding the Fourth Proportional to 462,958.59, 638,741.13 and 301,754.82

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Solution

The fourth proportional to 462,958.59, 638,741.13 and 301,754.82 is: 416,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,958.59 : 638,741.13 = 301,754.82 : x
  2. Step 2: Convert to fraction form
    462,958.59/638,741.13 = 301,754.82/x
  3. Step 3: Cross multiply
    462,958.59x = 638,741.13 × 301,754.82
  4. Step 4: Simplify right side
    462,958.59x = 192,743,214,709.75
  5. Step 5: Solve for x
    x = 192,743,214,709.75/462,958.59
  6. Step 6: Final answer
    x = 416,329.28

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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.