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Finding the Fourth Proportional to 309,910.50, 464,822.10 and 99,521.10

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Solution

The fourth proportional to 309,910.50, 464,822.10 and 99,521.10 is: 149,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,910.50 : 464,822.10 = 99,521.10 : x
  2. Step 2: Convert to fraction form
    309,910.50/464,822.10 = 99,521.10/x
  3. Step 3: Cross multiply
    309,910.50x = 464,822.10 × 99,521.10
  4. Step 4: Simplify right side
    309,910.50x = 46,259,606,696.31
  5. Step 5: Solve for x
    x = 46,259,606,696.31/309,910.50
  6. Step 6: Final answer
    x = 149,267.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.