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Finding the Fourth Proportional to 643,653.60, 965,793.98 and 264,688.20

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Solution

The fourth proportional to 643,653.60, 965,793.98 and 264,688.20 is: 397,161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,653.60 : 965,793.98 = 264,688.20 : x
  2. Step 2: Convert to fraction form
    643,653.60/965,793.98 = 264,688.20/x
  3. Step 3: Cross multiply
    643,653.60x = 965,793.98 × 264,688.20
  4. Step 4: Simplify right side
    643,653.60x = 255,634,270,137.04
  5. Step 5: Solve for x
    x = 255,634,270,137.04/643,653.60
  6. Step 6: Final answer
    x = 397,161.25

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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.