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Finding the Fourth Proportional to 489,660.80, 734,491.20 and 454,231.40

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Solution

The fourth proportional to 489,660.80, 734,491.20 and 454,231.40 is: 681,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,660.80 : 734,491.20 = 454,231.40 : x
  2. Step 2: Convert to fraction form
    489,660.80/734,491.20 = 454,231.40/x
  3. Step 3: Cross multiply
    489,660.80x = 734,491.20 × 454,231.40
  4. Step 4: Simplify right side
    489,660.80x = 333,628,966,063.68
  5. Step 5: Solve for x
    x = 333,628,966,063.68/489,660.80
  6. Step 6: Final answer
    x = 681,347.10

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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.