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Finding the Fourth Proportional to 263,678.08, 395,513.76 and 64,000

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Solution

The fourth proportional to 263,678.08, 395,513.76 and 64,000 is: 95,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,678.08 : 395,513.76 = 64,000 : x
  2. Step 2: Convert to fraction form
    263,678.08/395,513.76 = 64,000/x
  3. Step 3: Cross multiply
    263,678.08x = 395,513.76 × 64,000
  4. Step 4: Simplify right side
    263,678.08x = 25,312,880,640
  5. Step 5: Solve for x
    x = 25,312,880,640/263,678.08
  6. Step 6: Final answer
    x = 95,999.18

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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.