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Finding the Fourth Proportional to 502,858.76, 753,789.90 and 236,141.84

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Solution

The fourth proportional to 502,858.76, 753,789.90 and 236,141.84 is: 353,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,858.76 : 753,789.90 = 236,141.84 : x
  2. Step 2: Convert to fraction form
    502,858.76/753,789.90 = 236,141.84/x
  3. Step 3: Cross multiply
    502,858.76x = 753,789.90 × 236,141.84
  4. Step 4: Simplify right side
    502,858.76x = 178,001,333,959.42
  5. Step 5: Solve for x
    x = 178,001,333,959.42/502,858.76
  6. Step 6: Final answer
    x = 353,978.79

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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.