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Finding the Fourth Proportional to 643,963.20, 965,944.80 and 494,955.60

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Solution

The fourth proportional to 643,963.20, 965,944.80 and 494,955.60 is: 742,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,963.20 : 965,944.80 = 494,955.60 : x
  2. Step 2: Convert to fraction form
    643,963.20/965,944.80 = 494,955.60/x
  3. Step 3: Cross multiply
    643,963.20x = 965,944.80 × 494,955.60
  4. Step 4: Simplify right side
    643,963.20x = 478,099,788,050.88
  5. Step 5: Solve for x
    x = 478,099,788,050.88/643,963.20
  6. Step 6: Final answer
    x = 742,433.40

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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.