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Finding the Fourth Proportional to 420,706.96, 580,621.31 and 259,557.87

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Solution

The fourth proportional to 420,706.96, 580,621.31 and 259,557.87 is: 358,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,706.96 : 580,621.31 = 259,557.87 : x
  2. Step 2: Convert to fraction form
    420,706.96/580,621.31 = 259,557.87/x
  3. Step 3: Cross multiply
    420,706.96x = 580,621.31 × 259,557.87
  4. Step 4: Simplify right side
    420,706.96x = 150,704,830,500.21
  5. Step 5: Solve for x
    x = 150,704,830,500.21/420,706.96
  6. Step 6: Final answer
    x = 358,218.06

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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.