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Finding the Fourth Proportional to 328,314.50, 492,486.84 and 100,593.80

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Solution

The fourth proportional to 328,314.50, 492,486.84 and 100,593.80 is: 150,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,314.50 : 492,486.84 = 100,593.80 : x
  2. Step 2: Convert to fraction form
    328,314.50/492,486.84 = 100,593.80/x
  3. Step 3: Cross multiply
    328,314.50x = 492,486.84 × 100,593.80
  4. Step 4: Simplify right side
    328,314.50x = 49,541,123,916.81
  5. Step 5: Solve for x
    x = 49,541,123,916.81/328,314.50
  6. Step 6: Final answer
    x = 150,895.33

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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.