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Finding the Fourth Proportional to 714,414.62, 1,071,808.66 and 414,606.99

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Solution

The fourth proportional to 714,414.62, 1,071,808.66 and 414,606.99 is: 622,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,414.62 : 1,071,808.66 = 414,606.99 : x
  2. Step 2: Convert to fraction form
    714,414.62/1,071,808.66 = 414,606.99/x
  3. Step 3: Cross multiply
    714,414.62x = 1,071,808.66 × 414,606.99
  4. Step 4: Simplify right side
    714,414.62x = 444,379,361,342.02
  5. Step 5: Solve for x
    x = 444,379,361,342.02/714,414.62
  6. Step 6: Final answer
    x = 622,018.86

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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.