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Finding the Fourth Proportional to 465,267.87, 642,140.33 and 284,085.45

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Solution

The fourth proportional to 465,267.87, 642,140.33 and 284,085.45 is: 392,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,267.87 : 642,140.33 = 284,085.45 : x
  2. Step 2: Convert to fraction form
    465,267.87/642,140.33 = 284,085.45/x
  3. Step 3: Cross multiply
    465,267.87x = 642,140.33 × 284,085.45
  4. Step 4: Simplify right side
    465,267.87x = 182,422,723,190.77
  5. Step 5: Solve for x
    x = 182,422,723,190.77/465,267.87
  6. Step 6: Final answer
    x = 392,081.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.