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Finding the Fourth Proportional to 328,317.51, 492,491.34 and 100,596.81

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Solution

The fourth proportional to 328,317.51, 492,491.34 and 100,596.81 is: 150,899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,317.51 : 492,491.34 = 100,596.81 : x
  2. Step 2: Convert to fraction form
    328,317.51/492,491.34 = 100,596.81/x
  3. Step 3: Cross multiply
    328,317.51x = 492,491.34 × 100,596.81
  4. Step 4: Simplify right side
    328,317.51x = 49,543,057,756.63
  5. Step 5: Solve for x
    x = 49,543,057,756.63/328,317.51
  6. Step 6: Final answer
    x = 150,899.83

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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.