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Finding the Fourth Proportional to 369,959.76, 510,545.82 and 200,193.88

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Solution

The fourth proportional to 369,959.76, 510,545.82 and 200,193.88 is: 276,268.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,959.76 : 510,545.82 = 200,193.88 : x
  2. Step 2: Convert to fraction form
    369,959.76/510,545.82 = 200,193.88/x
  3. Step 3: Cross multiply
    369,959.76x = 510,545.82 × 200,193.88
  4. Step 4: Simplify right side
    369,959.76x = 102,208,148,623.58
  5. Step 5: Solve for x
    x = 102,208,148,623.58/369,959.76
  6. Step 6: Final answer
    x = 276,268.29

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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.