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Finding the Fourth Proportional to 586,765.72, 809,755.95 and 332,111.44

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Solution

The fourth proportional to 586,765.72, 809,755.95 and 332,111.44 is: 458,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,765.72 : 809,755.95 = 332,111.44 : x
  2. Step 2: Convert to fraction form
    586,765.72/809,755.95 = 332,111.44/x
  3. Step 3: Cross multiply
    586,765.72x = 809,755.95 × 332,111.44
  4. Step 4: Simplify right side
    586,765.72x = 268,929,214,603.07
  5. Step 5: Solve for x
    x = 268,929,214,603.07/586,765.72
  6. Step 6: Final answer
    x = 458,324.69

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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.