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Finding the Fourth Proportional to 654,708.67, 982,302.90 and 275,724.81

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Solution

The fourth proportional to 654,708.67, 982,302.90 and 275,724.81 is: 413,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,708.67 : 982,302.90 = 275,724.81 : x
  2. Step 2: Convert to fraction form
    654,708.67/982,302.90 = 275,724.81/x
  3. Step 3: Cross multiply
    654,708.67x = 982,302.90 × 275,724.81
  4. Step 4: Simplify right side
    654,708.67x = 270,845,279,430.98
  5. Step 5: Solve for x
    x = 270,845,279,430.98/654,708.67
  6. Step 6: Final answer
    x = 413,688.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.