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Finding the Fourth Proportional to 501,214.93, 751,647.38 and 201,617.80

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Solution

The fourth proportional to 501,214.93, 751,647.38 and 201,617.80 is: 302,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,214.93 : 751,647.38 = 201,617.80 : x
  2. Step 2: Convert to fraction form
    501,214.93/751,647.38 = 201,617.80/x
  3. Step 3: Cross multiply
    501,214.93x = 751,647.38 × 201,617.80
  4. Step 4: Simplify right side
    501,214.93x = 151,545,488,244.16
  5. Step 5: Solve for x
    x = 151,545,488,244.16/501,214.93
  6. Step 6: Final answer
    x = 302,356.29

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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.