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Finding the Fourth Proportional to 586,745.37, 809,711.24 and 332,145.77

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Solution

The fourth proportional to 586,745.37, 809,711.24 and 332,145.77 is: 458,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,745.37 : 809,711.24 = 332,145.77 : x
  2. Step 2: Convert to fraction form
    586,745.37/809,711.24 = 332,145.77/x
  3. Step 3: Cross multiply
    586,745.37x = 809,711.24 × 332,145.77
  4. Step 4: Simplify right side
    586,745.37x = 268,942,157,578.17
  5. Step 5: Solve for x
    x = 268,942,157,578.17/586,745.37
  6. Step 6: Final answer
    x = 458,362.64

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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.