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Finding the Fourth Proportional to 511,239.96, 705,428.16 and 296,338.04

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Solution

The fourth proportional to 511,239.96, 705,428.16 and 296,338.04 is: 408,898.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,239.96 : 705,428.16 = 296,338.04 : x
  2. Step 2: Convert to fraction form
    511,239.96/705,428.16 = 296,338.04/x
  3. Step 3: Cross multiply
    511,239.96x = 705,428.16 × 296,338.04
  4. Step 4: Simplify right side
    511,239.96x = 209,045,198,295.21
  5. Step 5: Solve for x
    x = 209,045,198,295.21/511,239.96
  6. Step 6: Final answer
    x = 408,898.39

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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.