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Finding the Fourth Proportional to 734,587.40, 1,101,881.10 and 419,659.40

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Solution

The fourth proportional to 734,587.40, 1,101,881.10 and 419,659.40 is: 629,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,587.40 : 1,101,881.10 = 419,659.40 : x
  2. Step 2: Convert to fraction form
    734,587.40/1,101,881.10 = 419,659.40/x
  3. Step 3: Cross multiply
    734,587.40x = 1,101,881.10 × 419,659.40
  4. Step 4: Simplify right side
    734,587.40x = 462,414,761,297.34
  5. Step 5: Solve for x
    x = 462,414,761,297.34/734,587.40
  6. Step 6: Final answer
    x = 629,489.10

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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.