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Finding the Fourth Proportional to 310,950.14, 466,439.79 and 100,604.54

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Solution

The fourth proportional to 310,950.14, 466,439.79 and 100,604.54 is: 150,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,950.14 : 466,439.79 = 100,604.54 : x
  2. Step 2: Convert to fraction form
    310,950.14/466,439.79 = 100,604.54/x
  3. Step 3: Cross multiply
    310,950.14x = 466,439.79 × 100,604.54
  4. Step 4: Simplify right side
    310,950.14x = 46,925,960,510.65
  5. Step 5: Solve for x
    x = 46,925,960,510.65/310,950.14
  6. Step 6: Final answer
    x = 150,911.53

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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.