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Finding the Fourth Proportional to 397,598.96, 596,515.99 and 229,240.06

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Solution

The fourth proportional to 397,598.96, 596,515.99 and 229,240.06 is: 343,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,598.96 : 596,515.99 = 229,240.06 : x
  2. Step 2: Convert to fraction form
    397,598.96/596,515.99 = 229,240.06/x
  3. Step 3: Cross multiply
    397,598.96x = 596,515.99 × 229,240.06
  4. Step 4: Simplify right side
    397,598.96x = 136,745,361,338.56
  5. Step 5: Solve for x
    x = 136,745,361,338.56/397,598.96
  6. Step 6: Final answer
    x = 343,927.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.