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Finding the Fourth Proportional to 735,403.80, 1,102,320.90 and 419,179.80

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Solution

The fourth proportional to 735,403.80, 1,102,320.90 and 419,179.80 is: 628,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,403.80 : 1,102,320.90 = 419,179.80 : x
  2. Step 2: Convert to fraction form
    735,403.80/1,102,320.90 = 419,179.80/x
  3. Step 3: Cross multiply
    735,403.80x = 1,102,320.90 × 419,179.80
  4. Step 4: Simplify right side
    735,403.80x = 462,070,654,397.82
  5. Step 5: Solve for x
    x = 462,070,654,397.82/735,403.80
  6. Step 6: Final answer
    x = 628,322.36

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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.