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Finding the Fourth Proportional to 421,463.20, 632,194.80 and 421,463.20

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Solution

The fourth proportional to 421,463.20, 632,194.80 and 421,463.20 is: 632,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,463.20 : 632,194.80 = 421,463.20 : x
  2. Step 2: Convert to fraction form
    421,463.20/632,194.80 = 421,463.20/x
  3. Step 3: Cross multiply
    421,463.20x = 632,194.80 × 421,463.20
  4. Step 4: Simplify right side
    421,463.20x = 266,446,843,431.36
  5. Step 5: Solve for x
    x = 266,446,843,431.36/421,463.20
  6. Step 6: Final answer
    x = 632,194.80

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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.