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Finding the Fourth Proportional to 328,209.44, 492,338.28 and 117,849.20

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Solution

The fourth proportional to 328,209.44, 492,338.28 and 117,849.20 is: 176,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,209.44 : 492,338.28 = 117,849.20 : x
  2. Step 2: Convert to fraction form
    328,209.44/492,338.28 = 117,849.20/x
  3. Step 3: Cross multiply
    328,209.44x = 492,338.28 × 117,849.20
  4. Step 4: Simplify right side
    328,209.44x = 58,021,672,427.38
  5. Step 5: Solve for x
    x = 58,021,672,427.38/328,209.44
  6. Step 6: Final answer
    x = 176,782.46

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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.