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Finding the Fourth Proportional to 586,729.92, 809,548.50 and 332,081.10

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Solution

The fourth proportional to 586,729.92, 809,548.50 and 332,081.10 is: 458,193.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,729.92 : 809,548.50 = 332,081.10 : x
  2. Step 2: Convert to fraction form
    586,729.92/809,548.50 = 332,081.10/x
  3. Step 3: Cross multiply
    586,729.92x = 809,548.50 × 332,081.10
  4. Step 4: Simplify right side
    586,729.92x = 268,835,760,109.96
  5. Step 5: Solve for x
    x = 268,835,760,109.96/586,729.92
  6. Step 6: Final answer
    x = 458,193.37

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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.