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Finding the Fourth Proportional to 726,129.40, 1,089,194.10 and 411,201.40

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Solution

The fourth proportional to 726,129.40, 1,089,194.10 and 411,201.40 is: 616,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,129.40 : 1,089,194.10 = 411,201.40 : x
  2. Step 2: Convert to fraction form
    726,129.40/1,089,194.10 = 411,201.40/x
  3. Step 3: Cross multiply
    726,129.40x = 1,089,194.10 × 411,201.40
  4. Step 4: Simplify right side
    726,129.40x = 447,878,138,791.74
  5. Step 5: Solve for x
    x = 447,878,138,791.74/726,129.40
  6. Step 6: Final answer
    x = 616,802.10

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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.