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Finding the Fourth Proportional to 289,014.18, 398,975.94 and 217,421.52

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Solution

The fourth proportional to 289,014.18, 398,975.94 and 217,421.52 is: 300,144.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,014.18 : 398,975.94 = 217,421.52 : x
  2. Step 2: Convert to fraction form
    289,014.18/398,975.94 = 217,421.52/x
  3. Step 3: Cross multiply
    289,014.18x = 398,975.94 × 217,421.52
  4. Step 4: Simplify right side
    289,014.18x = 86,745,955,318.23
  5. Step 5: Solve for x
    x = 86,745,955,318.23/289,014.18
  6. Step 6: Final answer
    x = 300,144.29

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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.