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Finding the Fourth Proportional to 501,204.11, 751,805.96 and 146,217.96

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Solution

The fourth proportional to 501,204.11, 751,805.96 and 146,217.96 is: 219,326.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,204.11 : 751,805.96 = 146,217.96 : x
  2. Step 2: Convert to fraction form
    501,204.11/751,805.96 = 146,217.96/x
  3. Step 3: Cross multiply
    501,204.11x = 751,805.96 × 146,217.96
  4. Step 4: Simplify right side
    501,204.11x = 109,927,533,055.95
  5. Step 5: Solve for x
    x = 109,927,533,055.95/501,204.11
  6. Step 6: Final answer
    x = 219,326.88

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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.