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Finding the Fourth Proportional to 467,857.42, 645,643.22 and 252,997.50

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Solution

The fourth proportional to 467,857.42, 645,643.22 and 252,997.50 is: 349,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,857.42 : 645,643.22 = 252,997.50 : x
  2. Step 2: Convert to fraction form
    467,857.42/645,643.22 = 252,997.50/x
  3. Step 3: Cross multiply
    467,857.42x = 645,643.22 × 252,997.50
  4. Step 4: Simplify right side
    467,857.42x = 163,346,120,551.95
  5. Step 5: Solve for x
    x = 163,346,120,551.95/467,857.42
  6. Step 6: Final answer
    x = 349,136.54

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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.