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Finding the Fourth Proportional to 467,808.86, 645,576.60 and 252,949.07

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Solution

The fourth proportional to 467,808.86, 645,576.60 and 252,949.07 is: 349,069.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,808.86 : 645,576.60 = 252,949.07 : x
  2. Step 2: Convert to fraction form
    467,808.86/645,576.60 = 252,949.07/x
  3. Step 3: Cross multiply
    467,808.86x = 645,576.60 × 252,949.07
  4. Step 4: Simplify right side
    467,808.86x = 163,297,997,355.88
  5. Step 5: Solve for x
    x = 163,297,997,355.88/467,808.86
  6. Step 6: Final answer
    x = 349,069.92

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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.