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Finding the Fourth Proportional to 501,234.52, 751,884.54 and 146,218.84

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Solution

The fourth proportional to 501,234.52, 751,884.54 and 146,218.84 is: 219,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,234.52 : 751,884.54 = 146,218.84 : x
  2. Step 2: Convert to fraction form
    501,234.52/751,884.54 = 146,218.84/x
  3. Step 3: Cross multiply
    501,234.52x = 751,884.54 × 146,218.84
  4. Step 4: Simplify right side
    501,234.52x = 109,939,685,252.73
  5. Step 5: Solve for x
    x = 109,939,685,252.73/501,234.52
  6. Step 6: Final answer
    x = 219,337.82

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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.