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Finding the Fourth Proportional to 369,162.24, 509,444.16 and 199,396.32

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Solution

The fourth proportional to 369,162.24, 509,444.16 and 199,396.32 is: 275,167.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,162.24 : 509,444.16 = 199,396.32 : x
  2. Step 2: Convert to fraction form
    369,162.24/509,444.16 = 199,396.32/x
  3. Step 3: Cross multiply
    369,162.24x = 509,444.16 × 199,396.32
  4. Step 4: Simplify right side
    369,162.24x = 101,581,290,749.49
  5. Step 5: Solve for x
    x = 101,581,290,749.49/369,162.24
  6. Step 6: Final answer
    x = 275,167.07

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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.