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Finding the Fourth Proportional to 538,842, 743,633.28 and 297,175.98

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Solution

The fourth proportional to 538,842, 743,633.28 and 297,175.98 is: 410,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,842 : 743,633.28 = 297,175.98 : x
  2. Step 2: Convert to fraction form
    538,842/743,633.28 = 297,175.98/x
  3. Step 3: Cross multiply
    538,842x = 743,633.28 × 297,175.98
  4. Step 4: Simplify right side
    538,842x = 220,989,948,744.61
  5. Step 5: Solve for x
    x = 220,989,948,744.61/538,842
  6. Step 6: Final answer
    x = 410,120.13

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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.