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Finding the Fourth Proportional to 531,834.56, 797,644.53 and 194,760.14

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Solution

The fourth proportional to 531,834.56, 797,644.53 and 194,760.14 is: 292,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,834.56 : 797,644.53 = 194,760.14 : x
  2. Step 2: Convert to fraction form
    531,834.56/797,644.53 = 194,760.14/x
  3. Step 3: Cross multiply
    531,834.56x = 797,644.53 × 194,760.14
  4. Step 4: Simplify right side
    531,834.56x = 155,349,360,333.03
  5. Step 5: Solve for x
    x = 155,349,360,333.03/531,834.56
  6. Step 6: Final answer
    x = 292,100.92

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Why These Related Problems?

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