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Finding the Fourth Proportional to 328,409.90, 453,205.43 and 177,506.90

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Solution

The fourth proportional to 328,409.90, 453,205.43 and 177,506.90 is: 244,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,409.90 : 453,205.43 = 177,506.90 : x
  2. Step 2: Convert to fraction form
    328,409.90/453,205.43 = 177,506.90/x
  3. Step 3: Cross multiply
    328,409.90x = 453,205.43 × 177,506.90
  4. Step 4: Simplify right side
    328,409.90x = 80,447,087,788.91
  5. Step 5: Solve for x
    x = 80,447,087,788.91/328,409.90
  6. Step 6: Final answer
    x = 244,959.39

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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.