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Finding the Fourth Proportional to 416,809.25, 624,214.88 and 213,871.31

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Solution

The fourth proportional to 416,809.25, 624,214.88 and 213,871.31 is: 320,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,809.25 : 624,214.88 = 213,871.31 : x
  2. Step 2: Convert to fraction form
    416,809.25/624,214.88 = 213,871.31/x
  3. Step 3: Cross multiply
    416,809.25x = 624,214.88 × 213,871.31
  4. Step 4: Simplify right side
    416,809.25x = 133,501,653,037.74
  5. Step 5: Solve for x
    x = 133,501,653,037.74/416,809.25
  6. Step 6: Final answer
    x = 320,294.36

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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.