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Finding the Fourth Proportional to 586,462.46, 809,077.61 and 356,835.66

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Solution

The fourth proportional to 586,462.46, 809,077.61 and 356,835.66 is: 492,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,462.46 : 809,077.61 = 356,835.66 : x
  2. Step 2: Convert to fraction form
    586,462.46/809,077.61 = 356,835.66/x
  3. Step 3: Cross multiply
    586,462.46x = 809,077.61 × 356,835.66
  4. Step 4: Simplify right side
    586,462.46x = 288,707,741,171.39
  5. Step 5: Solve for x
    x = 288,707,741,171.39/586,462.46
  6. Step 6: Final answer
    x = 492,286.83

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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.