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Finding the Fourth Proportional to 551,429.17, 827,194.88 and 214,495.49

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Solution

The fourth proportional to 551,429.17, 827,194.88 and 214,495.49 is: 321,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,429.17 : 827,194.88 = 214,495.49 : x
  2. Step 2: Convert to fraction form
    551,429.17/827,194.88 = 214,495.49/x
  3. Step 3: Cross multiply
    551,429.17x = 827,194.88 × 214,495.49
  4. Step 4: Simplify right side
    551,429.17x = 177,429,573,715.32
  5. Step 5: Solve for x
    x = 177,429,573,715.32/551,429.17
  6. Step 6: Final answer
    x = 321,763.13

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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.