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Finding the Fourth Proportional to 501,461.25, 752,551.01 and 213,474.80

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Solution

The fourth proportional to 501,461.25, 752,551.01 and 213,474.80 is: 320,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,461.25 : 752,551.01 = 213,474.80 : x
  2. Step 2: Convert to fraction form
    501,461.25/752,551.01 = 213,474.80/x
  3. Step 3: Cross multiply
    501,461.25x = 752,551.01 × 213,474.80
  4. Step 4: Simplify right side
    501,461.25x = 160,650,676,349.55
  5. Step 5: Solve for x
    x = 160,650,676,349.55/501,461.25
  6. Step 6: Final answer
    x = 320,365.09

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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.