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Finding the Fourth Proportional to 398,895.48, 550,474.96 and 217,607.34

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Solution

The fourth proportional to 398,895.48, 550,474.96 and 217,607.34 is: 300,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,895.48 : 550,474.96 = 217,607.34 : x
  2. Step 2: Convert to fraction form
    398,895.48/550,474.96 = 217,607.34/x
  3. Step 3: Cross multiply
    398,895.48x = 550,474.96 × 217,607.34
  4. Step 4: Simplify right side
    398,895.48x = 119,787,390,694.17
  5. Step 5: Solve for x
    x = 119,787,390,694.17/398,895.48
  6. Step 6: Final answer
    x = 300,297.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.