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Finding the Fourth Proportional to 613,504.53, 920,306.00 and 214,136.46

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Solution

The fourth proportional to 613,504.53, 920,306.00 and 214,136.46 is: 321,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,504.53 : 920,306.00 = 214,136.46 : x
  2. Step 2: Convert to fraction form
    613,504.53/920,306.00 = 214,136.46/x
  3. Step 3: Cross multiply
    613,504.53x = 920,306.00 × 214,136.46
  4. Step 4: Simplify right side
    613,504.53x = 197,071,069,492.10
  5. Step 5: Solve for x
    x = 197,071,069,492.10/613,504.53
  6. Step 6: Final answer
    x = 321,221.87

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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.