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Finding the Fourth Proportional to 328,262.36, 492,446.03 and 138,724.56

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Solution

The fourth proportional to 328,262.36, 492,446.03 and 138,724.56 is: 208,109.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,262.36 : 492,446.03 = 138,724.56 : x
  2. Step 2: Convert to fraction form
    328,262.36/492,446.03 = 138,724.56/x
  3. Step 3: Cross multiply
    328,262.36x = 492,446.03 × 138,724.56
  4. Step 4: Simplify right side
    328,262.36x = 68,314,358,141.87
  5. Step 5: Solve for x
    x = 68,314,358,141.87/328,262.36
  6. Step 6: Final answer
    x = 208,109.02

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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.