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Finding the Fourth Proportional to 421,446.30, 632,169.45 and 421,446.30

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Solution

The fourth proportional to 421,446.30, 632,169.45 and 421,446.30 is: 632,169.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,446.30 : 632,169.45 = 421,446.30 : x
  2. Step 2: Convert to fraction form
    421,446.30/632,169.45 = 421,446.30/x
  3. Step 3: Cross multiply
    421,446.30x = 632,169.45 × 421,446.30
  4. Step 4: Simplify right side
    421,446.30x = 266,425,475,675.54
  5. Step 5: Solve for x
    x = 266,425,475,675.54/421,446.30
  6. Step 6: Final answer
    x = 632,169.45

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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.