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Finding the Fourth Proportional to 502,855.26, 753,784.65 and 236,138.34

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Solution

The fourth proportional to 502,855.26, 753,784.65 and 236,138.34 is: 353,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,855.26 : 753,784.65 = 236,138.34 : x
  2. Step 2: Convert to fraction form
    502,855.26/753,784.65 = 236,138.34/x
  3. Step 3: Cross multiply
    502,855.26x = 753,784.65 × 236,138.34
  4. Step 4: Simplify right side
    502,855.26x = 177,997,455,968.48
  5. Step 5: Solve for x
    x = 177,997,455,968.48/502,855.26
  6. Step 6: Final answer
    x = 353,973.54

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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.