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Finding the Fourth Proportional to 462,955.59, 638,736.99 and 301,751.82

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Solution

The fourth proportional to 462,955.59, 638,736.99 and 301,751.82 is: 416,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,955.59 : 638,736.99 = 301,751.82 : x
  2. Step 2: Convert to fraction form
    462,955.59/638,736.99 = 301,751.82/x
  3. Step 3: Cross multiply
    462,955.59x = 638,736.99 × 301,751.82
  4. Step 4: Simplify right side
    462,955.59x = 192,740,049,233.82
  5. Step 5: Solve for x
    x = 192,740,049,233.82/462,955.59
  6. Step 6: Final answer
    x = 416,325.14

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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.