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Finding the Fourth Proportional to 643,762.20, 965,643.30 and 405,816.60

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Solution

The fourth proportional to 643,762.20, 965,643.30 and 405,816.60 is: 608,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,762.20 : 965,643.30 = 405,816.60 : x
  2. Step 2: Convert to fraction form
    643,762.20/965,643.30 = 405,816.60/x
  3. Step 3: Cross multiply
    643,762.20x = 965,643.30 × 405,816.60
  4. Step 4: Simplify right side
    643,762.20x = 391,874,080,818.78
  5. Step 5: Solve for x
    x = 391,874,080,818.78/643,762.20
  6. Step 6: Final answer
    x = 608,724.90

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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.