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Finding the Fourth Proportional to 586,976.72, 809,608.65 and 538,735.15

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Solution

The fourth proportional to 586,976.72, 809,608.65 and 538,735.15 is: 743,069.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,976.72 : 809,608.65 = 538,735.15 : x
  2. Step 2: Convert to fraction form
    586,976.72/809,608.65 = 538,735.15/x
  3. Step 3: Cross multiply
    586,976.72x = 809,608.65 × 538,735.15
  4. Step 4: Simplify right side
    586,976.72x = 436,164,633,451.00
  5. Step 5: Solve for x
    x = 436,164,633,451.00/586,976.72
  6. Step 6: Final answer
    x = 743,069.73

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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.