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Finding the Fourth Proportional to 369,175.98, 509,463.05 and 199,410.11

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Solution

The fourth proportional to 369,175.98, 509,463.05 and 199,410.11 is: 275,186.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,175.98 : 509,463.05 = 199,410.11 : x
  2. Step 2: Convert to fraction form
    369,175.98/509,463.05 = 199,410.11/x
  3. Step 3: Cross multiply
    369,175.98x = 509,463.05 × 199,410.11
  4. Step 4: Simplify right side
    369,175.98x = 101,592,079,297.07
  5. Step 5: Solve for x
    x = 101,592,079,297.07/369,175.98
  6. Step 6: Final answer
    x = 275,186.05

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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.