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Finding the Fourth Proportional to 332,341.77, 458,620.07 and 205,014.09

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Solution

The fourth proportional to 332,341.77, 458,620.07 and 205,014.09 is: 282,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,341.77 : 458,620.07 = 205,014.09 : x
  2. Step 2: Convert to fraction form
    332,341.77/458,620.07 = 205,014.09/x
  3. Step 3: Cross multiply
    332,341.77x = 458,620.07 × 205,014.09
  4. Step 4: Simplify right side
    332,341.77x = 94,023,575,281.72
  5. Step 5: Solve for x
    x = 94,023,575,281.72/332,341.77
  6. Step 6: Final answer
    x = 282,912.30

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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.