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Finding the Fourth Proportional to 502,192.89, 693,026.16 and 275,838.39

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Solution

The fourth proportional to 502,192.89, 693,026.16 and 275,838.39 is: 380,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,192.89 : 693,026.16 = 275,838.39 : x
  2. Step 2: Convert to fraction form
    502,192.89/693,026.16 = 275,838.39/x
  3. Step 3: Cross multiply
    502,192.89x = 693,026.16 × 275,838.39
  4. Step 4: Simplify right side
    502,192.89x = 191,163,220,202.28
  5. Step 5: Solve for x
    x = 191,163,220,202.28/502,192.89
  6. Step 6: Final answer
    x = 380,656.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.