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Finding the Fourth Proportional to 323,355.96, 446,070.78 and 216,069.84

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Solution

The fourth proportional to 323,355.96, 446,070.78 and 216,069.84 is: 298,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,355.96 : 446,070.78 = 216,069.84 : x
  2. Step 2: Convert to fraction form
    323,355.96/446,070.78 = 216,069.84/x
  3. Step 3: Cross multiply
    323,355.96x = 446,070.78 × 216,069.84
  4. Step 4: Simplify right side
    323,355.96x = 96,382,442,063.28
  5. Step 5: Solve for x
    x = 96,382,442,063.28/323,355.96
  6. Step 6: Final answer
    x = 298,069.17

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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.