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Finding the Fourth Proportional to 511,898.38, 706,439.01 and 285,587.62

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Solution

The fourth proportional to 511,898.38, 706,439.01 and 285,587.62 is: 394,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,898.38 : 706,439.01 = 285,587.62 : x
  2. Step 2: Convert to fraction form
    511,898.38/706,439.01 = 285,587.62/x
  3. Step 3: Cross multiply
    511,898.38x = 706,439.01 × 285,587.62
  4. Step 4: Simplify right side
    511,898.38x = 201,750,235,541.06
  5. Step 5: Solve for x
    x = 201,750,235,541.06/511,898.38
  6. Step 6: Final answer
    x = 394,121.65

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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.