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Finding the Fourth Proportional to 569,153.16, 854,170.38 and 214,489.80

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Solution

The fourth proportional to 569,153.16, 854,170.38 and 214,489.80 is: 321,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,153.16 : 854,170.38 = 214,489.80 : x
  2. Step 2: Convert to fraction form
    569,153.16/854,170.38 = 214,489.80/x
  3. Step 3: Cross multiply
    569,153.16x = 854,170.38 × 214,489.80
  4. Step 4: Simplify right side
    569,153.16x = 183,210,833,972.12
  5. Step 5: Solve for x
    x = 183,210,833,972.12/569,153.16
  6. Step 6: Final answer
    x = 321,900.76

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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.