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Finding the Fourth Proportional to 643,684.20, 965,963.70 and 359,374.20

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Solution

The fourth proportional to 643,684.20, 965,963.70 and 359,374.20 is: 539,305.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,684.20 : 965,963.70 = 359,374.20 : x
  2. Step 2: Convert to fraction form
    643,684.20/965,963.70 = 359,374.20/x
  3. Step 3: Cross multiply
    643,684.20x = 965,963.70 × 359,374.20
  4. Step 4: Simplify right side
    643,684.20x = 347,142,431,916.54
  5. Step 5: Solve for x
    x = 347,142,431,916.54/643,684.20
  6. Step 6: Final answer
    x = 539,305.50

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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.