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Finding the Fourth Proportional to 501,261.54, 752,265.90 and 201,744.60

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Solution

The fourth proportional to 501,261.54, 752,265.90 and 201,744.60 is: 302,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,261.54 : 752,265.90 = 201,744.60 : x
  2. Step 2: Convert to fraction form
    501,261.54/752,265.90 = 201,744.60/x
  3. Step 3: Cross multiply
    501,261.54x = 752,265.90 × 201,744.60
  4. Step 4: Simplify right side
    501,261.54x = 151,765,583,089.14
  5. Step 5: Solve for x
    x = 151,765,583,089.14/501,261.54
  6. Step 6: Final answer
    x = 302,767.26

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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.