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Finding the Fourth Proportional to 542,811.78, 749,065.77 and 313,361.30

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Solution

The fourth proportional to 542,811.78, 749,065.77 and 313,361.30 is: 432,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,811.78 : 749,065.77 = 313,361.30 : x
  2. Step 2: Convert to fraction form
    542,811.78/749,065.77 = 313,361.30/x
  3. Step 3: Cross multiply
    542,811.78x = 749,065.77 × 313,361.30
  4. Step 4: Simplify right side
    542,811.78x = 234,728,219,727.37
  5. Step 5: Solve for x
    x = 234,728,219,727.37/542,811.78
  6. Step 6: Final answer
    x = 432,430.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.