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Finding the Fourth Proportional to 309,424.53, 463,868.46 and 119,754.34

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Solution

The fourth proportional to 309,424.53, 463,868.46 and 119,754.34 is: 179,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,424.53 : 463,868.46 = 119,754.34 : x
  2. Step 2: Convert to fraction form
    309,424.53/463,868.46 = 119,754.34/x
  3. Step 3: Cross multiply
    309,424.53x = 463,868.46 × 119,754.34
  4. Step 4: Simplify right side
    309,424.53x = 55,550,260,114.45
  5. Step 5: Solve for x
    x = 55,550,260,114.45/309,424.53
  6. Step 6: Final answer
    x = 179,527.65

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Why These Related Problems?

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