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Finding the Fourth Proportional to 511,126.05, 705,358.76 and 281,691.60

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Solution

The fourth proportional to 511,126.05, 705,358.76 and 281,691.60 is: 388,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,126.05 : 705,358.76 = 281,691.60 : x
  2. Step 2: Convert to fraction form
    511,126.05/705,358.76 = 281,691.60/x
  3. Step 3: Cross multiply
    511,126.05x = 705,358.76 × 281,691.60
  4. Step 4: Simplify right side
    511,126.05x = 198,693,636,400.94
  5. Step 5: Solve for x
    x = 198,693,636,400.94/511,126.05
  6. Step 6: Final answer
    x = 388,737.06

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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.