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Finding the Fourth Proportional to 643,855.20, 965,782.80 and 405,909.60

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Solution

The fourth proportional to 643,855.20, 965,782.80 and 405,909.60 is: 608,864.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,855.20 : 965,782.80 = 405,909.60 : x
  2. Step 2: Convert to fraction form
    643,855.20/965,782.80 = 405,909.60/x
  3. Step 3: Cross multiply
    643,855.20x = 965,782.80 × 405,909.60
  4. Step 4: Simplify right side
    643,855.20x = 392,020,510,034.88
  5. Step 5: Solve for x
    x = 392,020,510,034.88/643,855.20
  6. Step 6: Final answer
    x = 608,864.40

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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.