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Finding the Fourth Proportional to 453,877.60, 680,816.40 and 419,663.20

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Solution

The fourth proportional to 453,877.60, 680,816.40 and 419,663.20 is: 629,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,877.60 : 680,816.40 = 419,663.20 : x
  2. Step 2: Convert to fraction form
    453,877.60/680,816.40 = 419,663.20/x
  3. Step 3: Cross multiply
    453,877.60x = 680,816.40 × 419,663.20
  4. Step 4: Simplify right side
    453,877.60x = 285,713,589,036.48
  5. Step 5: Solve for x
    x = 285,713,589,036.48/453,877.60
  6. Step 6: Final answer
    x = 629,494.80

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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.