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Finding the Fourth Proportional to 511,010.46, 705,038.33 and 296,109

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Solution

The fourth proportional to 511,010.46, 705,038.33 and 296,109 is: 408,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,010.46 : 705,038.33 = 296,109 : x
  2. Step 2: Convert to fraction form
    511,010.46/705,038.33 = 296,109/x
  3. Step 3: Cross multiply
    511,010.46x = 705,038.33 × 296,109
  4. Step 4: Simplify right side
    511,010.46x = 208,768,193,377.43
  5. Step 5: Solve for x
    x = 208,768,193,377.43/511,010.46
  6. Step 6: Final answer
    x = 408,539.96

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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.