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Finding the Fourth Proportional to 323,314.24, 446,358.72 and 216,065.92

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Solution

The fourth proportional to 323,314.24, 446,358.72 and 216,065.92 is: 298,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,314.24 : 446,358.72 = 216,065.92 : x
  2. Step 2: Convert to fraction form
    323,314.24/446,358.72 = 216,065.92/x
  3. Step 3: Cross multiply
    323,314.24x = 446,358.72 × 216,065.92
  4. Step 4: Simplify right side
    323,314.24x = 96,442,907,486.82
  5. Step 5: Solve for x
    x = 96,442,907,486.82/323,314.24
  6. Step 6: Final answer
    x = 298,294.65

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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.