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Finding the Fourth Proportional to 461,634.85, 637,343.97 and 298,376.68

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Solution

The fourth proportional to 461,634.85, 637,343.97 and 298,376.68 is: 411,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,634.85 : 637,343.97 = 298,376.68 : x
  2. Step 2: Convert to fraction form
    461,634.85/637,343.97 = 298,376.68/x
  3. Step 3: Cross multiply
    461,634.85x = 637,343.97 × 298,376.68
  4. Step 4: Simplify right side
    461,634.85x = 190,168,577,786.62
  5. Step 5: Solve for x
    x = 190,168,577,786.62/461,634.85
  6. Step 6: Final answer
    x = 411,945.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.