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Finding the Fourth Proportional to 501,182.36, 751,697.42 and 164,215.55

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Solution

The fourth proportional to 501,182.36, 751,697.42 and 164,215.55 is: 246,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,182.36 : 751,697.42 = 164,215.55 : x
  2. Step 2: Convert to fraction form
    501,182.36/751,697.42 = 164,215.55/x
  3. Step 3: Cross multiply
    501,182.36x = 751,697.42 × 164,215.55
  4. Step 4: Simplify right side
    501,182.36x = 123,440,406,296.91
  5. Step 5: Solve for x
    x = 123,440,406,296.91/501,182.36
  6. Step 6: Final answer
    x = 246,298.39

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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.