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Finding the Fourth Proportional to 324,302.38, 447,408.42 and 216,701.98

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Solution

The fourth proportional to 324,302.38, 447,408.42 and 216,701.98 is: 298,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,302.38 : 447,408.42 = 216,701.98 : x
  2. Step 2: Convert to fraction form
    324,302.38/447,408.42 = 216,701.98/x
  3. Step 3: Cross multiply
    324,302.38x = 447,408.42 × 216,701.98
  4. Step 4: Simplify right side
    324,302.38x = 96,954,290,482.67
  5. Step 5: Solve for x
    x = 96,954,290,482.67/324,302.38
  6. Step 6: Final answer
    x = 298,962.62

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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.