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Finding the Fourth Proportional to 419,093.22, 578,361.16 and 258,041.18

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Solution

The fourth proportional to 419,093.22, 578,361.16 and 258,041.18 is: 356,104.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,093.22 : 578,361.16 = 258,041.18 : x
  2. Step 2: Convert to fraction form
    419,093.22/578,361.16 = 258,041.18/x
  3. Step 3: Cross multiply
    419,093.22x = 578,361.16 × 258,041.18
  4. Step 4: Simplify right side
    419,093.22x = 149,240,996,192.57
  5. Step 5: Solve for x
    x = 149,240,996,192.57/419,093.22
  6. Step 6: Final answer
    x = 356,104.53

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Why These Related Problems?

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