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Finding the Fourth Proportional to 711,976.35, 982,519.86 and 385,282.20

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Solution

The fourth proportional to 711,976.35, 982,519.86 and 385,282.20 is: 531,685.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,976.35 : 982,519.86 = 385,282.20 : x
  2. Step 2: Convert to fraction form
    711,976.35/982,519.86 = 385,282.20/x
  3. Step 3: Cross multiply
    711,976.35x = 982,519.86 × 385,282.20
  4. Step 4: Simplify right side
    711,976.35x = 378,547,413,204.49
  5. Step 5: Solve for x
    x = 378,547,413,204.49/711,976.35
  6. Step 6: Final answer
    x = 531,685.38

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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.