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Finding the Fourth Proportional to 332,216, 458,470.72 and 188,989.12

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Solution

The fourth proportional to 332,216, 458,470.72 and 188,989.12 is: 260,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,216 : 458,470.72 = 188,989.12 : x
  2. Step 2: Convert to fraction form
    332,216/458,470.72 = 188,989.12/x
  3. Step 3: Cross multiply
    332,216x = 458,470.72 × 188,989.12
  4. Step 4: Simplify right side
    332,216x = 86,645,977,918.57
  5. Step 5: Solve for x
    x = 86,645,977,918.57/332,216
  6. Step 6: Final answer
    x = 260,812.18

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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.