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Finding the Fourth Proportional to 421,498.50, 581,736.60 and 313,321.29

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Solution

The fourth proportional to 421,498.50, 581,736.60 and 313,321.29 is: 432,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,498.50 : 581,736.60 = 313,321.29 : x
  2. Step 2: Convert to fraction form
    421,498.50/581,736.60 = 313,321.29/x
  3. Step 3: Cross multiply
    421,498.50x = 581,736.60 × 313,321.29
  4. Step 4: Simplify right side
    421,498.50x = 182,270,461,952.21
  5. Step 5: Solve for x
    x = 182,270,461,952.21/421,498.50
  6. Step 6: Final answer
    x = 432,434.43

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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.