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Finding the Fourth Proportional to 586,782.18, 809,754.57 and 332,131.14

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Solution

The fourth proportional to 586,782.18, 809,754.57 and 332,131.14 is: 458,338.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,782.18 : 809,754.57 = 332,131.14 : x
  2. Step 2: Convert to fraction form
    586,782.18/809,754.57 = 332,131.14/x
  3. Step 3: Cross multiply
    586,782.18x = 809,754.57 × 332,131.14
  4. Step 4: Simplify right side
    586,782.18x = 268,944,708,454.31
  5. Step 5: Solve for x
    x = 268,944,708,454.31/586,782.18
  6. Step 6: Final answer
    x = 458,338.23

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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.