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Finding the Fourth Proportional to 328,315.50, 492,488.34 and 100,594.80

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Solution

The fourth proportional to 328,315.50, 492,488.34 and 100,594.80 is: 150,896.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,315.50 : 492,488.34 = 100,594.80 : x
  2. Step 2: Convert to fraction form
    328,315.50/492,488.34 = 100,594.80/x
  3. Step 3: Cross multiply
    328,315.50x = 492,488.34 × 100,594.80
  4. Step 4: Simplify right side
    328,315.50x = 49,541,766,064.63
  5. Step 5: Solve for x
    x = 49,541,766,064.63/328,315.50
  6. Step 6: Final answer
    x = 150,896.82

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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.