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Finding the Fourth Proportional to 289,519.67, 399,527.48 and 160,452.65

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Solution

The fourth proportional to 289,519.67, 399,527.48 and 160,452.65 is: 221,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,519.67 : 399,527.48 = 160,452.65 : x
  2. Step 2: Convert to fraction form
    289,519.67/399,527.48 = 160,452.65/x
  3. Step 3: Cross multiply
    289,519.67x = 399,527.48 × 160,452.65
  4. Step 4: Simplify right side
    289,519.67x = 64,105,240,113.92
  5. Step 5: Solve for x
    x = 64,105,240,113.92/289,519.67
  6. Step 6: Final answer
    x = 221,419.30

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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.