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Finding the Fourth Proportional to 450,091.92, 675,470.16 and 213,435.39

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Solution

The fourth proportional to 450,091.92, 675,470.16 and 213,435.39 is: 320,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,091.92 : 675,470.16 = 213,435.39 : x
  2. Step 2: Convert to fraction form
    450,091.92/675,470.16 = 213,435.39/x
  3. Step 3: Cross multiply
    450,091.92x = 675,470.16 × 213,435.39
  4. Step 4: Simplify right side
    450,091.92x = 144,169,237,032.96
  5. Step 5: Solve for x
    x = 144,169,237,032.96/450,091.92
  6. Step 6: Final answer
    x = 320,310.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.