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Finding the Fourth Proportional to 433,294.66, 598,096.94 and 297,777.20

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Solution

The fourth proportional to 433,294.66, 598,096.94 and 297,777.20 is: 411,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,294.66 : 598,096.94 = 297,777.20 : x
  2. Step 2: Convert to fraction form
    433,294.66/598,096.94 = 297,777.20/x
  3. Step 3: Cross multiply
    433,294.66x = 598,096.94 × 297,777.20
  4. Step 4: Simplify right side
    433,294.66x = 178,099,632,121.77
  5. Step 5: Solve for x
    x = 178,099,632,121.77/433,294.66
  6. Step 6: Final answer
    x = 411,035.83

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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.