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Finding the Fourth Proportional to 619,737.54, 854,919 and 413,361.24

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Solution

The fourth proportional to 619,737.54, 854,919 and 413,361.24 is: 570,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,737.54 : 854,919 = 413,361.24 : x
  2. Step 2: Convert to fraction form
    619,737.54/854,919 = 413,361.24/x
  3. Step 3: Cross multiply
    619,737.54x = 854,919 × 413,361.24
  4. Step 4: Simplify right side
    619,737.54x = 353,390,377,939.56
  5. Step 5: Solve for x
    x = 353,390,377,939.56/619,737.54
  6. Step 6: Final answer
    x = 570,225.87

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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.