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Finding the Fourth Proportional to 421,141.14, 632,149.11 and 243,994.14

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Solution

The fourth proportional to 421,141.14, 632,149.11 and 243,994.14 is: 366,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,141.14 : 632,149.11 = 243,994.14 : x
  2. Step 2: Convert to fraction form
    421,141.14/632,149.11 = 243,994.14/x
  3. Step 3: Cross multiply
    421,141.14x = 632,149.11 × 243,994.14
  4. Step 4: Simplify right side
    421,141.14x = 154,240,678,446.22
  5. Step 5: Solve for x
    x = 154,240,678,446.22/421,141.14
  6. Step 6: Final answer
    x = 366,244.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.