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Finding the Fourth Proportional to 709,865.72, 979,499.13 and 419,436.83

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Solution

The fourth proportional to 709,865.72, 979,499.13 and 419,436.83 is: 578,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,865.72 : 979,499.13 = 419,436.83 : x
  2. Step 2: Convert to fraction form
    709,865.72/979,499.13 = 419,436.83/x
  3. Step 3: Cross multiply
    709,865.72x = 979,499.13 × 419,436.83
  4. Step 4: Simplify right side
    709,865.72x = 410,838,013,310.15
  5. Step 5: Solve for x
    x = 410,838,013,310.15/709,865.72
  6. Step 6: Final answer
    x = 578,754.54

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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.