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Finding the Fourth Proportional to 511,234.95, 705,421.26 and 296,333.04

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Solution

The fourth proportional to 511,234.95, 705,421.26 and 296,333.04 is: 408,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,234.95 : 705,421.26 = 296,333.04 : x
  2. Step 2: Convert to fraction form
    511,234.95/705,421.26 = 296,333.04/x
  3. Step 3: Cross multiply
    511,234.95x = 705,421.26 × 296,333.04
  4. Step 4: Simplify right side
    511,234.95x = 209,039,626,456.43
  5. Step 5: Solve for x
    x = 209,039,626,456.43/511,234.95
  6. Step 6: Final answer
    x = 408,891.50

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