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Finding the Fourth Proportional to 537,769.20, 806,653.80 and 454,825.20

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Solution

The fourth proportional to 537,769.20, 806,653.80 and 454,825.20 is: 682,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,769.20 : 806,653.80 = 454,825.20 : x
  2. Step 2: Convert to fraction form
    537,769.20/806,653.80 = 454,825.20/x
  3. Step 3: Cross multiply
    537,769.20x = 806,653.80 × 454,825.20
  4. Step 4: Simplify right side
    537,769.20x = 366,886,475,915.76
  5. Step 5: Solve for x
    x = 366,886,475,915.76/537,769.20
  6. Step 6: Final answer
    x = 682,237.80

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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.