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Finding the Fourth Proportional to 328,433.14, 453,237.42 and 177,530.14

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Solution

The fourth proportional to 328,433.14, 453,237.42 and 177,530.14 is: 244,991.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,433.14 : 453,237.42 = 177,530.14 : x
  2. Step 2: Convert to fraction form
    328,433.14/453,237.42 = 177,530.14/x
  3. Step 3: Cross multiply
    328,433.14x = 453,237.42 × 177,530.14
  4. Step 4: Simplify right side
    328,433.14x = 80,463,302,625.84
  5. Step 5: Solve for x
    x = 80,463,302,625.84/328,433.14
  6. Step 6: Final answer
    x = 244,991.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.