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Finding the Fourth Proportional to 531,224, 733,089.12 and 292,760

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Solution

The fourth proportional to 531,224, 733,089.12 and 292,760 is: 404,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,224 : 733,089.12 = 292,760 : x
  2. Step 2: Convert to fraction form
    531,224/733,089.12 = 292,760/x
  3. Step 3: Cross multiply
    531,224x = 733,089.12 × 292,760
  4. Step 4: Simplify right side
    531,224x = 214,619,170,771.20
  5. Step 5: Solve for x
    x = 214,619,170,771.20/531,224
  6. Step 6: Final answer
    x = 404,008.80

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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.