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Finding the Fourth Proportional to 450,102.80, 675,486.02 and 213,446.16

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Solution

The fourth proportional to 450,102.80, 675,486.02 and 213,446.16 is: 320,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,102.80 : 675,486.02 = 213,446.16 : x
  2. Step 2: Convert to fraction form
    450,102.80/675,486.02 = 213,446.16/x
  3. Step 3: Cross multiply
    450,102.80x = 675,486.02 × 213,446.16
  4. Step 4: Simplify right side
    450,102.80x = 144,179,897,102.68
  5. Step 5: Solve for x
    x = 144,179,897,102.68/450,102.80
  6. Step 6: Final answer
    x = 320,326.59

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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.