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Finding the Fourth Proportional to 501,264.54, 752,270.40 and 201,747.60

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Solution

The fourth proportional to 501,264.54, 752,270.40 and 201,747.60 is: 302,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,264.54 : 752,270.40 = 201,747.60 : x
  2. Step 2: Convert to fraction form
    501,264.54/752,270.40 = 201,747.60/x
  3. Step 3: Cross multiply
    501,264.54x = 752,270.40 × 201,747.60
  4. Step 4: Simplify right side
    501,264.54x = 151,768,747,751.04
  5. Step 5: Solve for x
    x = 151,768,747,751.04/501,264.54
  6. Step 6: Final answer
    x = 302,771.76

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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.