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Finding the Fourth Proportional to 735,242.13, 1,102,079.12 and 419,018.13

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Solution

The fourth proportional to 735,242.13, 1,102,079.12 and 419,018.13 is: 628,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,242.13 : 1,102,079.12 = 419,018.13 : x
  2. Step 2: Convert to fraction form
    735,242.13/1,102,079.12 = 419,018.13/x
  3. Step 3: Cross multiply
    735,242.13x = 1,102,079.12 × 419,018.13
  4. Step 4: Simplify right side
    735,242.13x = 461,791,129,879.36
  5. Step 5: Solve for x
    x = 461,791,129,879.36/735,242.13
  6. Step 6: Final answer
    x = 628,080.34

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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.