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Finding the Fourth Proportional to 569,406.70, 854,438.10 and 214,675.30

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Solution

The fourth proportional to 569,406.70, 854,438.10 and 214,675.30 is: 322,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,406.70 : 854,438.10 = 214,675.30 : x
  2. Step 2: Convert to fraction form
    569,406.70/854,438.10 = 214,675.30/x
  3. Step 3: Cross multiply
    569,406.70x = 854,438.10 × 214,675.30
  4. Step 4: Simplify right side
    569,406.70x = 183,426,755,448.93
  5. Step 5: Solve for x
    x = 183,426,755,448.93/569,406.70
  6. Step 6: Final answer
    x = 322,136.63

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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.