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Finding the Fourth Proportional to 645,211.84, 967,714.08 and 201,979.84

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Solution

The fourth proportional to 645,211.84, 967,714.08 and 201,979.84 is: 302,937.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,211.84 : 967,714.08 = 201,979.84 : x
  2. Step 2: Convert to fraction form
    645,211.84/967,714.08 = 201,979.84/x
  3. Step 3: Cross multiply
    645,211.84x = 967,714.08 × 201,979.84
  4. Step 4: Simplify right side
    645,211.84x = 195,458,735,044.15
  5. Step 5: Solve for x
    x = 195,458,735,044.15/645,211.84
  6. Step 6: Final answer
    x = 302,937.30

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