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Finding the Fourth Proportional to 633,970.20, 949,205.70 and 494,002.20

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Solution

The fourth proportional to 633,970.20, 949,205.70 and 494,002.20 is: 739,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,970.20 : 949,205.70 = 494,002.20 : x
  2. Step 2: Convert to fraction form
    633,970.20/949,205.70 = 494,002.20/x
  3. Step 3: Cross multiply
    633,970.20x = 949,205.70 × 494,002.20
  4. Step 4: Simplify right side
    633,970.20x = 468,909,704,052.54
  5. Step 5: Solve for x
    x = 468,909,704,052.54/633,970.20
  6. Step 6: Final answer
    x = 739,639.98

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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.