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Finding the Fourth Proportional to 313,974.98, 471,088.24 and 114,309.18

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Solution

The fourth proportional to 313,974.98, 471,088.24 and 114,309.18 is: 171,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,974.98 : 471,088.24 = 114,309.18 : x
  2. Step 2: Convert to fraction form
    313,974.98/471,088.24 = 114,309.18/x
  3. Step 3: Cross multiply
    313,974.98x = 471,088.24 × 114,309.18
  4. Step 4: Simplify right side
    313,974.98x = 53,849,710,422.04
  5. Step 5: Solve for x
    x = 53,849,710,422.04/313,974.98
  6. Step 6: Final answer
    x = 171,509.56

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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.