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Finding the Fourth Proportional to 643,468.40, 965,317.80 and 269,529.20

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Solution

The fourth proportional to 643,468.40, 965,317.80 and 269,529.20 is: 404,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,468.40 : 965,317.80 = 269,529.20 : x
  2. Step 2: Convert to fraction form
    643,468.40/965,317.80 = 269,529.20/x
  3. Step 3: Cross multiply
    643,468.40x = 965,317.80 × 269,529.20
  4. Step 4: Simplify right side
    643,468.40x = 260,181,334,379.76
  5. Step 5: Solve for x
    x = 260,181,334,379.76/643,468.40
  6. Step 6: Final answer
    x = 404,342.05

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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.