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Finding the Fourth Proportional to 501,461.75, 752,551.77 and 213,475.31

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Solution

The fourth proportional to 501,461.75, 752,551.77 and 213,475.31 is: 320,365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,461.75 : 752,551.77 = 213,475.31 : x
  2. Step 2: Convert to fraction form
    501,461.75/752,551.77 = 213,475.31/x
  3. Step 3: Cross multiply
    501,461.75x = 752,551.77 × 213,475.31
  4. Step 4: Simplify right side
    501,461.75x = 160,651,218,629.04
  5. Step 5: Solve for x
    x = 160,651,218,629.04/501,461.75
  6. Step 6: Final answer
    x = 320,365.85

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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.