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Finding the Fourth Proportional to 735,365.80, 1,102,263.90 and 419,141.80

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Solution

The fourth proportional to 735,365.80, 1,102,263.90 and 419,141.80 is: 628,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,365.80 : 1,102,263.90 = 419,141.80 : x
  2. Step 2: Convert to fraction form
    735,365.80/1,102,263.90 = 419,141.80/x
  3. Step 3: Cross multiply
    735,365.80x = 1,102,263.90 × 419,141.80
  4. Step 4: Simplify right side
    735,365.80x = 462,004,875,121.02
  5. Step 5: Solve for x
    x = 462,004,875,121.02/735,365.80
  6. Step 6: Final answer
    x = 628,265.38

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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.