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Finding the Fourth Proportional to 407,361.06, 610,803.21 and 122,966.34

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Solution

The fourth proportional to 407,361.06, 610,803.21 and 122,966.34 is: 184,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,361.06 : 610,803.21 = 122,966.34 : x
  2. Step 2: Convert to fraction form
    407,361.06/610,803.21 = 122,966.34/x
  3. Step 3: Cross multiply
    407,361.06x = 610,803.21 × 122,966.34
  4. Step 4: Simplify right side
    407,361.06x = 75,108,235,193.95
  5. Step 5: Solve for x
    x = 75,108,235,193.95/407,361.06
  6. Step 6: Final answer
    x = 184,377.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.