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Finding the Fourth Proportional to 643,814.80, 965,722.20 and 475,853.20

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Solution

The fourth proportional to 643,814.80, 965,722.20 and 475,853.20 is: 713,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,814.80 : 965,722.20 = 475,853.20 : x
  2. Step 2: Convert to fraction form
    643,814.80/965,722.20 = 475,853.20/x
  3. Step 3: Cross multiply
    643,814.80x = 965,722.20 × 475,853.20
  4. Step 4: Simplify right side
    643,814.80x = 459,541,999,181.04
  5. Step 5: Solve for x
    x = 459,541,999,181.04/643,814.80
  6. Step 6: Final answer
    x = 713,779.80

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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.