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Finding the Fourth Proportional to 569,701.24, 854,550.78 and 214,794.88

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Solution

The fourth proportional to 569,701.24, 854,550.78 and 214,794.88 is: 322,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,701.24 : 854,550.78 = 214,794.88 : x
  2. Step 2: Convert to fraction form
    569,701.24/854,550.78 = 214,794.88/x
  3. Step 3: Cross multiply
    569,701.24x = 854,550.78 × 214,794.88
  4. Step 4: Simplify right side
    569,701.24x = 183,553,132,244.01
  5. Step 5: Solve for x
    x = 183,553,132,244.01/569,701.24
  6. Step 6: Final answer
    x = 322,191.91

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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.